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What is the Least Common Multiple of 65056 and 65075?

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 65056 and 65075 is 222816800.

LCM(65056,65075) = 222816800

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Least Common Multiple of 65056 and 65075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65056 and 65075, than apply into the LCM equation.

GCF(65056,65075) = 19
LCM(65056,65075) = ( 65056 × 65075) / 19
LCM(65056,65075) = 4233519200 / 19
LCM(65056,65075) = 222816800

Least Common Multiple (LCM) of 65056 and 65075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65056 and 65075. First we will calculate the prime factors of 65056 and 65075.

Prime Factorization of 65056

Prime factors of 65056 are 2, 19, 107. Prime factorization of 65056 in exponential form is:

65056 = 25 × 191 × 1071

Prime Factorization of 65075

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

65075 = 52 × 191 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 65056 and 65075.

LCM(65056,65075) = 25 × 191 × 1071 × 52 × 1371
LCM(65056,65075) = 222816800