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What is the Least Common Multiple of 95186 and 95200?

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 95186 and 95200 is 647264800.

LCM(95186,95200) = 647264800

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Least Common Multiple of 95186 and 95200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95186 and 95200, than apply into the LCM equation.

GCF(95186,95200) = 14
LCM(95186,95200) = ( 95186 × 95200) / 14
LCM(95186,95200) = 9061707200 / 14
LCM(95186,95200) = 647264800

Least Common Multiple (LCM) of 95186 and 95200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95186 and 95200. First we will calculate the prime factors of 95186 and 95200.

Prime Factorization of 95186

Prime factors of 95186 are 2, 7, 13, 523. Prime factorization of 95186 in exponential form is:

95186 = 21 × 71 × 131 × 5231

Prime Factorization of 95200

Prime factors of 95200 are 2, 5, 7, 17. Prime factorization of 95200 in exponential form is:

95200 = 25 × 52 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 95186 and 95200.

LCM(95186,95200) = 25 × 71 × 131 × 5231 × 52 × 171
LCM(95186,95200) = 647264800