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What is the Least Common Multiple of 3164 and 3172?

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 3164 and 3172 is 2509052.

LCM(3164,3172) = 2509052

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Least Common Multiple of 3164 and 3172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3164 and 3172, than apply into the LCM equation.

GCF(3164,3172) = 4
LCM(3164,3172) = ( 3164 × 3172) / 4
LCM(3164,3172) = 10036208 / 4
LCM(3164,3172) = 2509052

Least Common Multiple (LCM) of 3164 and 3172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3164 and 3172. First we will calculate the prime factors of 3164 and 3172.

Prime Factorization of 3164

Prime factors of 3164 are 2, 7, 113. Prime factorization of 3164 in exponential form is:

3164 = 22 × 71 × 1131

Prime Factorization of 3172

Prime factors of 3172 are 2, 13, 61. Prime factorization of 3172 in exponential form is:

3172 = 22 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 3164 and 3172.

LCM(3164,3172) = 22 × 71 × 1131 × 131 × 611
LCM(3164,3172) = 2509052