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What is the Least Common Multiple of 60631 and 60650?

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 60631 and 60650 is 3677270150.

LCM(60631,60650) = 3677270150

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Least Common Multiple of 60631 and 60650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60631 and 60650, than apply into the LCM equation.

GCF(60631,60650) = 1
LCM(60631,60650) = ( 60631 × 60650) / 1
LCM(60631,60650) = 3677270150 / 1
LCM(60631,60650) = 3677270150

Least Common Multiple (LCM) of 60631 and 60650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60631 and 60650. First we will calculate the prime factors of 60631 and 60650.

Prime Factorization of 60631

Prime factors of 60631 are 60631. Prime factorization of 60631 in exponential form is:

60631 = 606311

Prime Factorization of 60650

Prime factors of 60650 are 2, 5, 1213. Prime factorization of 60650 in exponential form is:

60650 = 21 × 52 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 60631 and 60650.

LCM(60631,60650) = 606311 × 21 × 52 × 12131
LCM(60631,60650) = 3677270150