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What is the Least Common Multiple of 95601 and 95620?

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 95601 and 95620 is 9141367620.

LCM(95601,95620) = 9141367620

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Least Common Multiple of 95601 and 95620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95601 and 95620, than apply into the LCM equation.

GCF(95601,95620) = 1
LCM(95601,95620) = ( 95601 × 95620) / 1
LCM(95601,95620) = 9141367620 / 1
LCM(95601,95620) = 9141367620

Least Common Multiple (LCM) of 95601 and 95620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95601 and 95620. First we will calculate the prime factors of 95601 and 95620.

Prime Factorization of 95601

Prime factors of 95601 are 3, 11, 2897. Prime factorization of 95601 in exponential form is:

95601 = 31 × 111 × 28971

Prime Factorization of 95620

Prime factors of 95620 are 2, 5, 7, 683. Prime factorization of 95620 in exponential form is:

95620 = 22 × 51 × 71 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 95601 and 95620.

LCM(95601,95620) = 31 × 111 × 28971 × 22 × 51 × 71 × 6831
LCM(95601,95620) = 9141367620