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What is the Least Common Multiple of 95563 and 95579?

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 95563 and 95579 is 9133815977.

LCM(95563,95579) = 9133815977

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Least Common Multiple of 95563 and 95579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95563 and 95579, than apply into the LCM equation.

GCF(95563,95579) = 1
LCM(95563,95579) = ( 95563 × 95579) / 1
LCM(95563,95579) = 9133815977 / 1
LCM(95563,95579) = 9133815977

Least Common Multiple (LCM) of 95563 and 95579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95563 and 95579. First we will calculate the prime factors of 95563 and 95579.

Prime Factorization of 95563

Prime factors of 95563 are 13, 7351. Prime factorization of 95563 in exponential form is:

95563 = 131 × 73511

Prime Factorization of 95579

Prime factors of 95579 are 11, 8689. Prime factorization of 95579 in exponential form is:

95579 = 111 × 86891

Now multiplying the highest exponent prime factors to calculate the LCM of 95563 and 95579.

LCM(95563,95579) = 131 × 73511 × 111 × 86891
LCM(95563,95579) = 9133815977