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What is the Least Common Multiple of 65075 and 65088?

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 65075 and 65088 is 4235601600.

LCM(65075,65088) = 4235601600

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Least Common Multiple of 65075 and 65088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65075 and 65088, than apply into the LCM equation.

GCF(65075,65088) = 1
LCM(65075,65088) = ( 65075 × 65088) / 1
LCM(65075,65088) = 4235601600 / 1
LCM(65075,65088) = 4235601600

Least Common Multiple (LCM) of 65075 and 65088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65075 and 65088. First we will calculate the prime factors of 65075 and 65088.

Prime Factorization of 65075

Prime factors of 65075 are 5, 19, 137. Prime factorization of 65075 in exponential form is:

65075 = 52 × 191 × 1371

Prime Factorization of 65088

Prime factors of 65088 are 2, 3, 113. Prime factorization of 65088 in exponential form is:

65088 = 26 × 32 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 65075 and 65088.

LCM(65075,65088) = 52 × 191 × 1371 × 26 × 32 × 1131
LCM(65075,65088) = 4235601600