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What is the Least Common Multiple of 95392 and 95400?

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 95392 and 95400 is 1137549600.

LCM(95392,95400) = 1137549600

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Least Common Multiple of 95392 and 95400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95392 and 95400, than apply into the LCM equation.

GCF(95392,95400) = 8
LCM(95392,95400) = ( 95392 × 95400) / 8
LCM(95392,95400) = 9100396800 / 8
LCM(95392,95400) = 1137549600

Least Common Multiple (LCM) of 95392 and 95400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95392 and 95400. First we will calculate the prime factors of 95392 and 95400.

Prime Factorization of 95392

Prime factors of 95392 are 2, 11, 271. Prime factorization of 95392 in exponential form is:

95392 = 25 × 111 × 2711

Prime Factorization of 95400

Prime factors of 95400 are 2, 3, 5, 53. Prime factorization of 95400 in exponential form is:

95400 = 23 × 32 × 52 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 95392 and 95400.

LCM(95392,95400) = 25 × 111 × 2711 × 32 × 52 × 531
LCM(95392,95400) = 1137549600