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What is the Least Common Multiple of 95172 and 95178?

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 95172 and 95178 is 1509713436.

LCM(95172,95178) = 1509713436

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Least Common Multiple of 95172 and 95178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95172 and 95178, than apply into the LCM equation.

GCF(95172,95178) = 6
LCM(95172,95178) = ( 95172 × 95178) / 6
LCM(95172,95178) = 9058280616 / 6
LCM(95172,95178) = 1509713436

Least Common Multiple (LCM) of 95172 and 95178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95172 and 95178. First we will calculate the prime factors of 95172 and 95178.

Prime Factorization of 95172

Prime factors of 95172 are 2, 3, 7, 11, 103. Prime factorization of 95172 in exponential form is:

95172 = 22 × 31 × 71 × 111 × 1031

Prime Factorization of 95178

Prime factors of 95178 are 2, 3, 29, 547. Prime factorization of 95178 in exponential form is:

95178 = 21 × 31 × 291 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 95172 and 95178.

LCM(95172,95178) = 22 × 31 × 71 × 111 × 1031 × 291 × 5471
LCM(95172,95178) = 1509713436