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What is the Least Common Multiple of 65638 and 65652?

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 65638 and 65652 is 2154632988.

LCM(65638,65652) = 2154632988

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Least Common Multiple of 65638 and 65652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65638 and 65652, than apply into the LCM equation.

GCF(65638,65652) = 2
LCM(65638,65652) = ( 65638 × 65652) / 2
LCM(65638,65652) = 4309265976 / 2
LCM(65638,65652) = 2154632988

Least Common Multiple (LCM) of 65638 and 65652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65638 and 65652. First we will calculate the prime factors of 65638 and 65652.

Prime Factorization of 65638

Prime factors of 65638 are 2, 37, 887. Prime factorization of 65638 in exponential form is:

65638 = 21 × 371 × 8871

Prime Factorization of 65652

Prime factors of 65652 are 2, 3, 5471. Prime factorization of 65652 in exponential form is:

65652 = 22 × 31 × 54711

Now multiplying the highest exponent prime factors to calculate the LCM of 65638 and 65652.

LCM(65638,65652) = 22 × 371 × 8871 × 31 × 54711
LCM(65638,65652) = 2154632988