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What is the Least Common Multiple of 95062 and 95077?

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 95062 and 95077 is 9038209774.

LCM(95062,95077) = 9038209774

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Least Common Multiple of 95062 and 95077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95062 and 95077, than apply into the LCM equation.

GCF(95062,95077) = 1
LCM(95062,95077) = ( 95062 × 95077) / 1
LCM(95062,95077) = 9038209774 / 1
LCM(95062,95077) = 9038209774

Least Common Multiple (LCM) of 95062 and 95077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95062 and 95077. First we will calculate the prime factors of 95062 and 95077.

Prime Factorization of 95062

Prime factors of 95062 are 2, 11, 29, 149. Prime factorization of 95062 in exponential form is:

95062 = 21 × 111 × 291 × 1491

Prime Factorization of 95077

Prime factors of 95077 are 31, 3067. Prime factorization of 95077 in exponential form is:

95077 = 311 × 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 95062 and 95077.

LCM(95062,95077) = 21 × 111 × 291 × 1491 × 311 × 30671
LCM(95062,95077) = 9038209774