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What is the Least Common Multiple of 64714 and 64718?

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 64714 and 64718 is 2094080326.

LCM(64714,64718) = 2094080326

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Least Common Multiple of 64714 and 64718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64714 and 64718, than apply into the LCM equation.

GCF(64714,64718) = 2
LCM(64714,64718) = ( 64714 × 64718) / 2
LCM(64714,64718) = 4188160652 / 2
LCM(64714,64718) = 2094080326

Least Common Multiple (LCM) of 64714 and 64718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64714 and 64718. First we will calculate the prime factors of 64714 and 64718.

Prime Factorization of 64714

Prime factors of 64714 are 2, 13, 19, 131. Prime factorization of 64714 in exponential form is:

64714 = 21 × 131 × 191 × 1311

Prime Factorization of 64718

Prime factors of 64718 are 2, 32359. Prime factorization of 64718 in exponential form is:

64718 = 21 × 323591

Now multiplying the highest exponent prime factors to calculate the LCM of 64714 and 64718.

LCM(64714,64718) = 21 × 131 × 191 × 1311 × 323591
LCM(64714,64718) = 2094080326