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What is the Least Common Multiple of 65596 and 65608?

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 65596 and 65608 is 1075905592.

LCM(65596,65608) = 1075905592

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Least Common Multiple of 65596 and 65608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65596 and 65608, than apply into the LCM equation.

GCF(65596,65608) = 4
LCM(65596,65608) = ( 65596 × 65608) / 4
LCM(65596,65608) = 4303622368 / 4
LCM(65596,65608) = 1075905592

Least Common Multiple (LCM) of 65596 and 65608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65596 and 65608. First we will calculate the prime factors of 65596 and 65608.

Prime Factorization of 65596

Prime factors of 65596 are 2, 23, 31. Prime factorization of 65596 in exponential form is:

65596 = 22 × 232 × 311

Prime Factorization of 65608

Prime factors of 65608 are 2, 59, 139. Prime factorization of 65608 in exponential form is:

65608 = 23 × 591 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 65596 and 65608.

LCM(65596,65608) = 23 × 232 × 311 × 591 × 1391
LCM(65596,65608) = 1075905592