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What is the Least Common Multiple of 66118 and 66131?

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 66118 and 66131 is 336342266.

LCM(66118,66131) = 336342266

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Least Common Multiple of 66118 and 66131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66118 and 66131, than apply into the LCM equation.

GCF(66118,66131) = 13
LCM(66118,66131) = ( 66118 × 66131) / 13
LCM(66118,66131) = 4372449458 / 13
LCM(66118,66131) = 336342266

Least Common Multiple (LCM) of 66118 and 66131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66118 and 66131. First we will calculate the prime factors of 66118 and 66131.

Prime Factorization of 66118

Prime factors of 66118 are 2, 13, 2543. Prime factorization of 66118 in exponential form is:

66118 = 21 × 131 × 25431

Prime Factorization of 66131

Prime factors of 66131 are 13, 5087. Prime factorization of 66131 in exponential form is:

66131 = 131 × 50871

Now multiplying the highest exponent prime factors to calculate the LCM of 66118 and 66131.

LCM(66118,66131) = 21 × 131 × 25431 × 50871
LCM(66118,66131) = 336342266