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What is the Least Common Multiple of 64880 and 64884?

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 64884 is 1052418480.

LCM(64880,64884) = 1052418480

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Least Common Multiple of 64880 and 64884 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 64884, than apply into the LCM equation.

GCF(64880,64884) = 4
LCM(64880,64884) = ( 64880 × 64884) / 4
LCM(64880,64884) = 4209673920 / 4
LCM(64880,64884) = 1052418480

Least Common Multiple (LCM) of 64880 and 64884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64880 and 64884. First we will calculate the prime factors of 64880 and 64884.

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 64884

Prime factors of 64884 are 2, 3, 5407. Prime factorization of 64884 in exponential form is:

64884 = 22 × 31 × 54071

Now multiplying the highest exponent prime factors to calculate the LCM of 64880 and 64884.

LCM(64880,64884) = 24 × 51 × 8111 × 31 × 54071
LCM(64880,64884) = 1052418480