Least Common Multiple of 321473 and 321480

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

• Least Common Multiple of 321473 and 321480 by Prime method
• Least Common Multiple of 321473 and 321480 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321473 and 321480. First we will calculate the prime factors of 321473 and 321480.

Prime Factorization of 321473

Prime factors of 321473 are 563,571. Prime factorization of 321473 in exponential form is:

321473 = 563¹×571¹

Prime Factorization of 321480

Prime factors of 321480 are 2, 3, 5, 19,47. Prime factorization of 321480 in exponential form is:

321480 = 2³×3²×5¹×19¹×47¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321473 and 321480.

LCM(321473,321480) = 2³×3²×5¹×19¹×47¹×563¹×571¹
LCM(321473,321480) = 103347140040

Factors of 321473

List of positive integer factors of 321473 that divides 321473 without a remainder.

1, 563, 571, 321473

Factors of 321480

List of positive integer factors of 321480 that divides 321480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 47, 57, 60, 72, 76, 90, 94, 95, 114, 120, 141, 152, 171, 180, 188, 190, 228, 235, 282, 285, 342, 360, 376, 380, 423, 456, 470, 564, 570, 684, 705, 760, 846, 855, 893, 940, 1128, 1140, 1368, 1410, 1692, 1710, 1786, 1880, 2115, 2280, 2679, 2820, 3384, 3420, 3572, 4230, 4465, 5358, 5640, 6840, 7144, 8037, 8460, 8930, 10716, 13395, 16074, 16920, 17860, 21432, 26790, 32148, 35720, 40185, 53580, 64296, 80370, 107160, 160740, 321480

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321473 and 321480, than apply into the LCM equation.

GCF(321473,321480) = 1
LCM(321473,321480) = ( 321473 × 321480) / 1
LCM(321473,321480) = 103347140040 / 1
LCM(321473,321480) = 103347140040

(i) The LCM of 321480 and 321473 is associative

LCM of 321473 and 321480 = LCM of 321480 and 321473

1. What is the LCM of 321473 and 321480?

Answer: LCM of 321473 and 321480 is 103347140040.

2. What are the Factors of 321473?

Answer: Factors of 321473 are 1, 563, 571, 321473. There are 4 integers that are factors of 321473. The greatest factor of 321473 is 321473.

3. What are the Factors of 321480?

Answer: Factors of 321480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 47, 57, 60, 72, 76, 90, 94, 95, 114, 120, 141, 152, 171, 180, 188, 190, 228, 235, 282, 285, 342, 360, 376, 380, 423, 456, 470, 564, 570, 684, 705, 760, 846, 855, 893, 940, 1128, 1140, 1368, 1410, 1692, 1710, 1786, 1880, 2115, 2280, 2679, 2820, 3384, 3420, 3572, 4230, 4465, 5358, 5640, 6840, 7144, 8037, 8460, 8930, 10716, 13395, 16074, 16920, 17860, 21432, 26790, 32148, 35720, 40185, 53580, 64296, 80370, 107160, 160740, 321480. There are 96 integers that are factors of 321480. The greatest factor of 321480 is 321480.

4. How to Find the LCM of 321473 and 321480?

Answer:

Least Common Multiple of 321473 and 321480 = 103347140040

Step 1: Find the prime factorization of 321473

321473 = 563 x 571

Step 2: Find the prime factorization of 321480

321480 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 47

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

LCM = 103347140040 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 47 x 563 x 571

Step 4: Therefore, the least common multiple of 321473 and 321480 is 103347140040.