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What is the Least Common Multiple of 65572 and 65579?

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 65572 and 65579 is 4300146188.

LCM(65572,65579) = 4300146188

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Least Common Multiple of 65572 and 65579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65572 and 65579, than apply into the LCM equation.

GCF(65572,65579) = 1
LCM(65572,65579) = ( 65572 × 65579) / 1
LCM(65572,65579) = 4300146188 / 1
LCM(65572,65579) = 4300146188

Least Common Multiple (LCM) of 65572 and 65579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65572 and 65579. First we will calculate the prime factors of 65572 and 65579.

Prime Factorization of 65572

Prime factors of 65572 are 2, 13, 97. Prime factorization of 65572 in exponential form is:

65572 = 22 × 132 × 971

Prime Factorization of 65579

Prime factors of 65579 are 65579. Prime factorization of 65579 in exponential form is:

65579 = 655791

Now multiplying the highest exponent prime factors to calculate the LCM of 65572 and 65579.

LCM(65572,65579) = 22 × 132 × 971 × 655791
LCM(65572,65579) = 4300146188