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What is the Least Common Multiple of 65598 and 65612?

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 65598 and 65612 is 2152007988.

LCM(65598,65612) = 2152007988

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Least Common Multiple of 65598 and 65612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65598 and 65612, than apply into the LCM equation.

GCF(65598,65612) = 2
LCM(65598,65612) = ( 65598 × 65612) / 2
LCM(65598,65612) = 4304015976 / 2
LCM(65598,65612) = 2152007988

Least Common Multiple (LCM) of 65598 and 65612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65598 and 65612. First we will calculate the prime factors of 65598 and 65612.

Prime Factorization of 65598

Prime factors of 65598 are 2, 3, 13, 29. Prime factorization of 65598 in exponential form is:

65598 = 21 × 31 × 131 × 292

Prime Factorization of 65612

Prime factors of 65612 are 2, 47, 349. Prime factorization of 65612 in exponential form is:

65612 = 22 × 471 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 65598 and 65612.

LCM(65598,65612) = 22 × 31 × 131 × 292 × 471 × 3491
LCM(65598,65612) = 2152007988