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What is the Least Common Multiple of 60627 and 60639?

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 60627 and 60639 is 1225453551.

LCM(60627,60639) = 1225453551

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Least Common Multiple of 60627 and 60639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60627 and 60639, than apply into the LCM equation.

GCF(60627,60639) = 3
LCM(60627,60639) = ( 60627 × 60639) / 3
LCM(60627,60639) = 3676360653 / 3
LCM(60627,60639) = 1225453551

Least Common Multiple (LCM) of 60627 and 60639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60627 and 60639. First we will calculate the prime factors of 60627 and 60639.

Prime Factorization of 60627

Prime factors of 60627 are 3, 7, 2887. Prime factorization of 60627 in exponential form is:

60627 = 31 × 71 × 28871

Prime Factorization of 60639

Prime factors of 60639 are 3, 17, 29, 41. Prime factorization of 60639 in exponential form is:

60639 = 31 × 171 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 60627 and 60639.

LCM(60627,60639) = 31 × 71 × 28871 × 171 × 291 × 411
LCM(60627,60639) = 1225453551