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What is the Least Common Multiple of 74164 and 74172?

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 74164 and 74172 is 1375223052.

LCM(74164,74172) = 1375223052

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Least Common Multiple of 74164 and 74172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74164 and 74172, than apply into the LCM equation.

GCF(74164,74172) = 4
LCM(74164,74172) = ( 74164 × 74172) / 4
LCM(74164,74172) = 5500892208 / 4
LCM(74164,74172) = 1375223052

Least Common Multiple (LCM) of 74164 and 74172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74164 and 74172. First we will calculate the prime factors of 74164 and 74172.

Prime Factorization of 74164

Prime factors of 74164 are 2, 18541. Prime factorization of 74164 in exponential form is:

74164 = 22 × 185411

Prime Factorization of 74172

Prime factors of 74172 are 2, 3, 7, 883. Prime factorization of 74172 in exponential form is:

74172 = 22 × 31 × 71 × 8831

Now multiplying the highest exponent prime factors to calculate the LCM of 74164 and 74172.

LCM(74164,74172) = 22 × 185411 × 31 × 71 × 8831
LCM(74164,74172) = 1375223052