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What is the Least Common Multiple of 66891 and 66902?

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 66891 and 66902 is 406831062.

LCM(66891,66902) = 406831062

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Least Common Multiple of 66891 and 66902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66891 and 66902, than apply into the LCM equation.

GCF(66891,66902) = 11
LCM(66891,66902) = ( 66891 × 66902) / 11
LCM(66891,66902) = 4475141682 / 11
LCM(66891,66902) = 406831062

Least Common Multiple (LCM) of 66891 and 66902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66891 and 66902. First we will calculate the prime factors of 66891 and 66902.

Prime Factorization of 66891

Prime factors of 66891 are 3, 11, 2027. Prime factorization of 66891 in exponential form is:

66891 = 31 × 111 × 20271

Prime Factorization of 66902

Prime factors of 66902 are 2, 11, 3041. Prime factorization of 66902 in exponential form is:

66902 = 21 × 111 × 30411

Now multiplying the highest exponent prime factors to calculate the LCM of 66891 and 66902.

LCM(66891,66902) = 31 × 111 × 20271 × 21 × 30411
LCM(66891,66902) = 406831062