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What is the Least Common Multiple of 4137 and 4146?

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 4137 and 4146 is 5717334.

LCM(4137,4146) = 5717334

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Least Common Multiple of 4137 and 4146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4137 and 4146, than apply into the LCM equation.

GCF(4137,4146) = 3
LCM(4137,4146) = ( 4137 × 4146) / 3
LCM(4137,4146) = 17152002 / 3
LCM(4137,4146) = 5717334

Least Common Multiple (LCM) of 4137 and 4146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4137 and 4146. First we will calculate the prime factors of 4137 and 4146.

Prime Factorization of 4137

Prime factors of 4137 are 3, 7, 197. Prime factorization of 4137 in exponential form is:

4137 = 31 × 71 × 1971

Prime Factorization of 4146

Prime factors of 4146 are 2, 3, 691. Prime factorization of 4146 in exponential form is:

4146 = 21 × 31 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 4137 and 4146.

LCM(4137,4146) = 31 × 71 × 1971 × 21 × 6911
LCM(4137,4146) = 5717334