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What is the Least Common Multiple of 60387 and 60399?

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 60387 and 60399 is 1215771471.

LCM(60387,60399) = 1215771471

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Least Common Multiple of 60387 and 60399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60387 and 60399, than apply into the LCM equation.

GCF(60387,60399) = 3
LCM(60387,60399) = ( 60387 × 60399) / 3
LCM(60387,60399) = 3647314413 / 3
LCM(60387,60399) = 1215771471

Least Common Multiple (LCM) of 60387 and 60399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60387 and 60399. First we will calculate the prime factors of 60387 and 60399.

Prime Factorization of 60387

Prime factors of 60387 are 3, 20129. Prime factorization of 60387 in exponential form is:

60387 = 31 × 201291

Prime Factorization of 60399

Prime factors of 60399 are 3, 2237. Prime factorization of 60399 in exponential form is:

60399 = 33 × 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 60387 and 60399.

LCM(60387,60399) = 33 × 201291 × 22371
LCM(60387,60399) = 1215771471