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What is the Least Common Multiple of 95665 and 95676?

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 95665 and 95676 is 9152844540.

LCM(95665,95676) = 9152844540

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Least Common Multiple of 95665 and 95676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95665 and 95676, than apply into the LCM equation.

GCF(95665,95676) = 1
LCM(95665,95676) = ( 95665 × 95676) / 1
LCM(95665,95676) = 9152844540 / 1
LCM(95665,95676) = 9152844540

Least Common Multiple (LCM) of 95665 and 95676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95665 and 95676. First we will calculate the prime factors of 95665 and 95676.

Prime Factorization of 95665

Prime factors of 95665 are 5, 19, 53. Prime factorization of 95665 in exponential form is:

95665 = 51 × 192 × 531

Prime Factorization of 95676

Prime factors of 95676 are 2, 3, 7, 17, 67. Prime factorization of 95676 in exponential form is:

95676 = 22 × 31 × 71 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 95665 and 95676.

LCM(95665,95676) = 51 × 192 × 531 × 22 × 31 × 71 × 171 × 671
LCM(95665,95676) = 9152844540