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What is the Least Common Multiple of 66855 and 66860?

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 66855 and 66860 is 893985060.

LCM(66855,66860) = 893985060

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Least Common Multiple of 66855 and 66860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66855 and 66860, than apply into the LCM equation.

GCF(66855,66860) = 5
LCM(66855,66860) = ( 66855 × 66860) / 5
LCM(66855,66860) = 4469925300 / 5
LCM(66855,66860) = 893985060

Least Common Multiple (LCM) of 66855 and 66860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66855 and 66860. First we will calculate the prime factors of 66855 and 66860.

Prime Factorization of 66855

Prime factors of 66855 are 3, 5, 4457. Prime factorization of 66855 in exponential form is:

66855 = 31 × 51 × 44571

Prime Factorization of 66860

Prime factors of 66860 are 2, 5, 3343. Prime factorization of 66860 in exponential form is:

66860 = 22 × 51 × 33431

Now multiplying the highest exponent prime factors to calculate the LCM of 66855 and 66860.

LCM(66855,66860) = 31 × 51 × 44571 × 22 × 33431
LCM(66855,66860) = 893985060