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What is the Least Common Multiple of 3157 and 3175?

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 3157 and 3175 is 10023475.

LCM(3157,3175) = 10023475

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Least Common Multiple of 3157 and 3175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3157 and 3175, than apply into the LCM equation.

GCF(3157,3175) = 1
LCM(3157,3175) = ( 3157 × 3175) / 1
LCM(3157,3175) = 10023475 / 1
LCM(3157,3175) = 10023475

Least Common Multiple (LCM) of 3157 and 3175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3157 and 3175. First we will calculate the prime factors of 3157 and 3175.

Prime Factorization of 3157

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

3157 = 71 × 111 × 411

Prime Factorization of 3175

Prime factors of 3175 are 5, 127. Prime factorization of 3175 in exponential form is:

3175 = 52 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 3157 and 3175.

LCM(3157,3175) = 71 × 111 × 411 × 52 × 1271
LCM(3157,3175) = 10023475