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What is the Least Common Multiple of 64708 and 64719?

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 64708 and 64719 is 4187837052.

LCM(64708,64719) = 4187837052

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Least Common Multiple of 64708 and 64719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64708 and 64719, than apply into the LCM equation.

GCF(64708,64719) = 1
LCM(64708,64719) = ( 64708 × 64719) / 1
LCM(64708,64719) = 4187837052 / 1
LCM(64708,64719) = 4187837052

Least Common Multiple (LCM) of 64708 and 64719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64708 and 64719. First we will calculate the prime factors of 64708 and 64719.

Prime Factorization of 64708

Prime factors of 64708 are 2, 7, 2311. Prime factorization of 64708 in exponential form is:

64708 = 22 × 71 × 23111

Prime Factorization of 64719

Prime factors of 64719 are 3, 17, 47. Prime factorization of 64719 in exponential form is:

64719 = 34 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64708 and 64719.

LCM(64708,64719) = 22 × 71 × 23111 × 34 × 171 × 471
LCM(64708,64719) = 4187837052