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What is the Least Common Multiple of 64120 and 64138?

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 64120 and 64138 is 2056264280.

LCM(64120,64138) = 2056264280

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Least Common Multiple of 64120 and 64138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64120 and 64138, than apply into the LCM equation.

GCF(64120,64138) = 2
LCM(64120,64138) = ( 64120 × 64138) / 2
LCM(64120,64138) = 4112528560 / 2
LCM(64120,64138) = 2056264280

Least Common Multiple (LCM) of 64120 and 64138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64120 and 64138. First we will calculate the prime factors of 64120 and 64138.

Prime Factorization of 64120

Prime factors of 64120 are 2, 5, 7, 229. Prime factorization of 64120 in exponential form is:

64120 = 23 × 51 × 71 × 2291

Prime Factorization of 64138

Prime factors of 64138 are 2, 32069. Prime factorization of 64138 in exponential form is:

64138 = 21 × 320691

Now multiplying the highest exponent prime factors to calculate the LCM of 64120 and 64138.

LCM(64120,64138) = 23 × 51 × 71 × 2291 × 320691
LCM(64120,64138) = 2056264280