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What is the Least Common Multiple of 60511 and 60518?

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 60511 and 60518 is 3662004698.

LCM(60511,60518) = 3662004698

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Least Common Multiple of 60511 and 60518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60511 and 60518, than apply into the LCM equation.

GCF(60511,60518) = 1
LCM(60511,60518) = ( 60511 × 60518) / 1
LCM(60511,60518) = 3662004698 / 1
LCM(60511,60518) = 3662004698

Least Common Multiple (LCM) of 60511 and 60518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60511 and 60518. First we will calculate the prime factors of 60511 and 60518.

Prime Factorization of 60511

Prime factors of 60511 are 11, 5501. Prime factorization of 60511 in exponential form is:

60511 = 111 × 55011

Prime Factorization of 60518

Prime factors of 60518 are 2, 30259. Prime factorization of 60518 in exponential form is:

60518 = 21 × 302591

Now multiplying the highest exponent prime factors to calculate the LCM of 60511 and 60518.

LCM(60511,60518) = 111 × 55011 × 21 × 302591
LCM(60511,60518) = 3662004698