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What is the Least Common Multiple of 57165 and 57172?

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 57165 and 57172 is 3268237380.

LCM(57165,57172) = 3268237380

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Least Common Multiple of 57165 and 57172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57165 and 57172, than apply into the LCM equation.

GCF(57165,57172) = 1
LCM(57165,57172) = ( 57165 × 57172) / 1
LCM(57165,57172) = 3268237380 / 1
LCM(57165,57172) = 3268237380

Least Common Multiple (LCM) of 57165 and 57172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57165 and 57172. First we will calculate the prime factors of 57165 and 57172.

Prime Factorization of 57165

Prime factors of 57165 are 3, 5, 37, 103. Prime factorization of 57165 in exponential form is:

57165 = 31 × 51 × 371 × 1031

Prime Factorization of 57172

Prime factors of 57172 are 2, 14293. Prime factorization of 57172 in exponential form is:

57172 = 22 × 142931

Now multiplying the highest exponent prime factors to calculate the LCM of 57165 and 57172.

LCM(57165,57172) = 31 × 51 × 371 × 1031 × 22 × 142931
LCM(57165,57172) = 3268237380