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What is the Least Common Multiple of 66891 and 66910?

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 66910 is 4475676810.

LCM(66891,66910) = 4475676810

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Least Common Multiple of 66891 and 66910 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 66910, than apply into the LCM equation.

GCF(66891,66910) = 1
LCM(66891,66910) = ( 66891 × 66910) / 1
LCM(66891,66910) = 4475676810 / 1
LCM(66891,66910) = 4475676810

Least Common Multiple (LCM) of 66891 and 66910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66891 and 66910. First we will calculate the prime factors of 66891 and 66910.

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 66910

Prime factors of 66910 are 2, 5, 6691. Prime factorization of 66910 in exponential form is:

66910 = 21 × 51 × 66911

Now multiplying the highest exponent prime factors to calculate the LCM of 66891 and 66910.

LCM(66891,66910) = 31 × 111 × 20271 × 21 × 51 × 66911
LCM(66891,66910) = 4475676810