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What is the Least Common Multiple of 95639 and 95648?

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 95639 and 95648 is 9147679072.

LCM(95639,95648) = 9147679072

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Least Common Multiple of 95639 and 95648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95639 and 95648, than apply into the LCM equation.

GCF(95639,95648) = 1
LCM(95639,95648) = ( 95639 × 95648) / 1
LCM(95639,95648) = 9147679072 / 1
LCM(95639,95648) = 9147679072

Least Common Multiple (LCM) of 95639 and 95648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95639 and 95648. First we will calculate the prime factors of 95639 and 95648.

Prime Factorization of 95639

Prime factors of 95639 are 59, 1621. Prime factorization of 95639 in exponential form is:

95639 = 591 × 16211

Prime Factorization of 95648

Prime factors of 95648 are 2, 7, 61. Prime factorization of 95648 in exponential form is:

95648 = 25 × 72 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 95639 and 95648.

LCM(95639,95648) = 591 × 16211 × 25 × 72 × 611
LCM(95639,95648) = 9147679072