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What is the Least Common Multiple of 60882 and 60889?

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 60882 and 60889 is 3707044098.

LCM(60882,60889) = 3707044098

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Least Common Multiple of 60882 and 60889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60882 and 60889, than apply into the LCM equation.

GCF(60882,60889) = 1
LCM(60882,60889) = ( 60882 × 60889) / 1
LCM(60882,60889) = 3707044098 / 1
LCM(60882,60889) = 3707044098

Least Common Multiple (LCM) of 60882 and 60889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60882 and 60889. First we will calculate the prime factors of 60882 and 60889.

Prime Factorization of 60882

Prime factors of 60882 are 2, 3, 73, 139. Prime factorization of 60882 in exponential form is:

60882 = 21 × 31 × 731 × 1391

Prime Factorization of 60889

Prime factors of 60889 are 60889. Prime factorization of 60889 in exponential form is:

60889 = 608891

Now multiplying the highest exponent prime factors to calculate the LCM of 60882 and 60889.

LCM(60882,60889) = 21 × 31 × 731 × 1391 × 608891
LCM(60882,60889) = 3707044098