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What is the Least Common Multiple of 64865 and 64880?

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 64865 and 64880 is 841688240.

LCM(64865,64880) = 841688240

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Least Common Multiple of 64865 and 64880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64865 and 64880, than apply into the LCM equation.

GCF(64865,64880) = 5
LCM(64865,64880) = ( 64865 × 64880) / 5
LCM(64865,64880) = 4208441200 / 5
LCM(64865,64880) = 841688240

Least Common Multiple (LCM) of 64865 and 64880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64865 and 64880. First we will calculate the prime factors of 64865 and 64880.

Prime Factorization of 64865

Prime factors of 64865 are 5, 12973. Prime factorization of 64865 in exponential form is:

64865 = 51 × 129731

Prime Factorization of 64880

Prime factors of 64880 are 2, 5, 811. Prime factorization of 64880 in exponential form is:

64880 = 24 × 51 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 64865 and 64880.

LCM(64865,64880) = 51 × 129731 × 24 × 8111
LCM(64865,64880) = 841688240