Least Common Multiple of 307450 and 307455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307450 and 307455 the smallest integer that is 18905407950 that is divisible by both numbers.

Least Common Multiple (LCM) of 307450 and 307455 is 18905407950.

LCM(307450,307455) = 18905407950

LCM of 307450 and 307455

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 307450 and 307455

LCM of 307450 and 307455 is 18905407950

Least common multiple can be found by multiplying the highest exponent prime factors of 307450 and 307455. First we will calculate the prime factors of 307450 and 307455.

Prime Factorization of 307450


2 307450
5 153725
5 30745
11 6149
13 559
43 43
1

Prime factors of 307450 are 2, 5, 11, 13,43. Prime factorization of 307450 in exponential form is:

307450 = 21×52×111×131×431

Prime Factorization of 307455


3 307455
5 102485
103 20497
199 199
1

Prime factors of 307455 are 3, 5, 103,199. Prime factorization of 307455 in exponential form is:

307455 = 31×51×1031×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 307450 and 307455.

LCM(307450,307455) = 21×31×52×111×131×431×1031×1991
LCM(307450,307455) = 18905407950

Factors of 307450

List of positive integer factors of 307450 that divides 307450 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 43, 50, 55, 65, 86, 110, 130, 143, 215, 275, 286, 325, 430, 473, 550, 559, 650, 715, 946, 1075, 1118, 1430, 2150, 2365, 2795, 3575, 4730, 5590, 6149, 7150, 11825, 12298, 13975, 23650, 27950, 30745, 61490, 153725, 307450

Factors of 307455

List of positive integer factors of 307455 that divides 307455 without a remainder.

1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455

Least Common Multiple of 307450 and 307455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307450 and 307455, than apply into the LCM equation.

GCF(307450,307455) = 5
LCM(307450,307455) = ( 307450 × 307455) / 5
LCM(307450,307455) = 94527039750 / 5
LCM(307450,307455) = 18905407950

Properties of LCM 307450 and 307455

(i) The LCM of 307455 and 307450 is associative

LCM of 307450 and 307455 = LCM of 307455 and 307450

Related Least Common Multiples of 307450

Related Least Common Multiples of 307455

Frequently Asked Questions on LCM of 307450 and 307455

1. What is the LCM of 307450 and 307455?

Answer: LCM of 307450 and 307455 is 18905407950.

2. What are the Factors of 307450?

Answer: Factors of 307450 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 43, 50, 55, 65, 86, 110, 130, 143, 215, 275, 286, 325, 430, 473, 550, 559, 650, 715, 946, 1075, 1118, 1430, 2150, 2365, 2795, 3575, 4730, 5590, 6149, 7150, 11825, 12298, 13975, 23650, 27950, 30745, 61490, 153725, 307450. There are 48 integers that are factors of 307450. The greatest factor of 307450 is 307450.

3. What are the Factors of 307455?

Answer: Factors of 307455 are 1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455. There are 16 integers that are factors of 307455. The greatest factor of 307455 is 307455.

4. How to Find the LCM of 307450 and 307455?

Answer:

Least Common Multiple of 307450 and 307455 = 18905407950

Step 1: Find the prime factorization of 307450

307450 = 2 x 5 x 5 x 11 x 13 x 43

Step 2: Find the prime factorization of 307455

307455 = 3 x 5 x 103 x 199

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18905407950 = 2 x 3 x 5 x 5 x 11 x 13 x 43 x 103 x 199

Step 4: Therefore, the least common multiple of 307450 and 307455 is 18905407950.