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What is the Least Common Multiple of 66118 and 66124?

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 66124 is 2185993316.

LCM(66118,66124) = 2185993316

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Least Common Multiple of 66118 and 66124 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 66124, than apply into the LCM equation.

GCF(66118,66124) = 2
LCM(66118,66124) = ( 66118 × 66124) / 2
LCM(66118,66124) = 4371986632 / 2
LCM(66118,66124) = 2185993316

Least Common Multiple (LCM) of 66118 and 66124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66118 and 66124. First we will calculate the prime factors of 66118 and 66124.

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 66124

Prime factors of 66124 are 2, 61, 271. Prime factorization of 66124 in exponential form is:

66124 = 22 × 611 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 66118 and 66124.

LCM(66118,66124) = 22 × 131 × 25431 × 611 × 2711
LCM(66118,66124) = 2185993316