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What is the Least Common Multiple of 95720 and 95737?

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 95720 and 95737 is 9163945640.

LCM(95720,95737) = 9163945640

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Least Common Multiple of 95720 and 95737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95720 and 95737, than apply into the LCM equation.

GCF(95720,95737) = 1
LCM(95720,95737) = ( 95720 × 95737) / 1
LCM(95720,95737) = 9163945640 / 1
LCM(95720,95737) = 9163945640

Least Common Multiple (LCM) of 95720 and 95737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95720 and 95737. First we will calculate the prime factors of 95720 and 95737.

Prime Factorization of 95720

Prime factors of 95720 are 2, 5, 2393. Prime factorization of 95720 in exponential form is:

95720 = 23 × 51 × 23931

Prime Factorization of 95737

Prime factors of 95737 are 95737. Prime factorization of 95737 in exponential form is:

95737 = 957371

Now multiplying the highest exponent prime factors to calculate the LCM of 95720 and 95737.

LCM(95720,95737) = 23 × 51 × 23931 × 957371
LCM(95720,95737) = 9163945640