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What is the Least Common Multiple of 3150 and 3157?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3150 and 3157 is 1420650.

LCM(3150,3157) = 1420650

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Least Common Multiple of 3150 and 3157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3150 and 3157, than apply into the LCM equation.

GCF(3150,3157) = 7
LCM(3150,3157) = ( 3150 × 3157) / 7
LCM(3150,3157) = 9944550 / 7
LCM(3150,3157) = 1420650

Least Common Multiple (LCM) of 3150 and 3157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3150 and 3157. First we will calculate the prime factors of 3150 and 3157.

Prime Factorization of 3150

Prime factors of 3150 are 2, 3, 5, 7. Prime factorization of 3150 in exponential form is:

3150 = 21 × 32 × 52 × 71

Prime Factorization of 3157

Prime factors of 3157 are 7, 11, 41. Prime factorization of 3157 in exponential form is:

3157 = 71 × 111 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 3150 and 3157.

LCM(3150,3157) = 21 × 32 × 52 × 71 × 111 × 411
LCM(3150,3157) = 1420650