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What is the Least Common Multiple of 64707 and 64715?

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 64707 and 64715 is 4187513505.

LCM(64707,64715) = 4187513505

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Least Common Multiple of 64707 and 64715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64707 and 64715, than apply into the LCM equation.

GCF(64707,64715) = 1
LCM(64707,64715) = ( 64707 × 64715) / 1
LCM(64707,64715) = 4187513505 / 1
LCM(64707,64715) = 4187513505

Least Common Multiple (LCM) of 64707 and 64715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64707 and 64715. First we will calculate the prime factors of 64707 and 64715.

Prime Factorization of 64707

Prime factors of 64707 are 3, 21569. Prime factorization of 64707 in exponential form is:

64707 = 31 × 215691

Prime Factorization of 64715

Prime factors of 64715 are 5, 7, 43. Prime factorization of 64715 in exponential form is:

64715 = 51 × 71 × 432

Now multiplying the highest exponent prime factors to calculate the LCM of 64707 and 64715.

LCM(64707,64715) = 31 × 215691 × 51 × 71 × 432
LCM(64707,64715) = 4187513505