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What is the Least Common Multiple of 64880 and 64887?

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 64880 and 64887 is 4209868560.

LCM(64880,64887) = 4209868560

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Least Common Multiple of 64880 and 64887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64880 and 64887, than apply into the LCM equation.

GCF(64880,64887) = 1
LCM(64880,64887) = ( 64880 × 64887) / 1
LCM(64880,64887) = 4209868560 / 1
LCM(64880,64887) = 4209868560

Least Common Multiple (LCM) of 64880 and 64887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64880 and 64887. First we will calculate the prime factors of 64880 and 64887.

Prime Factorization of 64880

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

64880 = 24 × 51 × 8111

Prime Factorization of 64887

Prime factors of 64887 are 3, 43, 503. Prime factorization of 64887 in exponential form is:

64887 = 31 × 431 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 64880 and 64887.

LCM(64880,64887) = 24 × 51 × 8111 × 31 × 431 × 5031
LCM(64880,64887) = 4209868560