Least Common Multiple of 307450 and 307458

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

• Least Common Multiple of 307450 and 307458 by Prime method
• Least Common Multiple of 307450 and 307458 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 307450 and 307458. First we will calculate the prime factors of 307450 and 307458.

Prime Factorization of 307450

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 307458

Prime factors of 307458 are 2, 3, 19, 29,31. Prime factorization of 307458 in exponential form is:

307458 = 2¹×3²×19¹×29¹×31¹

Now multiplying the highest exponent prime factors to calculate the LCM of 307450 and 307458.

LCM(307450,307458) = 2¹×3²×5²×11¹×13¹×19¹×29¹×31¹×43¹
LCM(307450,307458) = 47263981050

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 307458

List of positive integer factors of 307458 that divides 307458 without a remainder.

1, 2, 3, 6, 9, 18, 19, 29, 31, 38, 57, 58, 62, 87, 93, 114, 171, 174, 186, 261, 279, 342, 522, 551, 558, 589, 899, 1102, 1178, 1653, 1767, 1798, 2697, 3306, 3534, 4959, 5301, 5394, 8091, 9918, 10602, 16182, 17081, 34162, 51243, 102486, 153729, 307458

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307450 and 307458, than apply into the LCM equation.

GCF(307450,307458) = 2
LCM(307450,307458) = ( 307450 × 307458) / 2
LCM(307450,307458) = 94527962100 / 2
LCM(307450,307458) = 47263981050

(i) The LCM of 307458 and 307450 is associative

LCM of 307450 and 307458 = LCM of 307458 and 307450

1. What is the LCM of 307450 and 307458?

Answer: LCM of 307450 and 307458 is 47263981050.

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 307458?

Answer: Factors of 307458 are 1, 2, 3, 6, 9, 18, 19, 29, 31, 38, 57, 58, 62, 87, 93, 114, 171, 174, 186, 261, 279, 342, 522, 551, 558, 589, 899, 1102, 1178, 1653, 1767, 1798, 2697, 3306, 3534, 4959, 5301, 5394, 8091, 9918, 10602, 16182, 17081, 34162, 51243, 102486, 153729, 307458. There are 48 integers that are factors of 307458. The greatest factor of 307458 is 307458.

4. How to Find the LCM of 307450 and 307458?

Answer:

Least Common Multiple of 307450 and 307458 = 47263981050

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 307458

307458 = 2 x 3 x 3 x 19 x 29 x 31

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

LCM = 47263981050 = 2 x 3 x 3 x 5 x 5 x 11 x 13 x 19 x 29 x 31 x 43

Step 4: Therefore, the least common multiple of 307450 and 307458 is 47263981050.