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What is the Least Common Multiple of 66112 and 66128?

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 66112 and 66128 is 273240896.

LCM(66112,66128) = 273240896

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Least Common Multiple of 66112 and 66128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66112 and 66128, than apply into the LCM equation.

GCF(66112,66128) = 16
LCM(66112,66128) = ( 66112 × 66128) / 16
LCM(66112,66128) = 4371854336 / 16
LCM(66112,66128) = 273240896

Least Common Multiple (LCM) of 66112 and 66128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66112 and 66128. First we will calculate the prime factors of 66112 and 66128.

Prime Factorization of 66112

Prime factors of 66112 are 2, 1033. Prime factorization of 66112 in exponential form is:

66112 = 26 × 10331

Prime Factorization of 66128

Prime factors of 66128 are 2, 4133. Prime factorization of 66128 in exponential form is:

66128 = 24 × 41331

Now multiplying the highest exponent prime factors to calculate the LCM of 66112 and 66128.

LCM(66112,66128) = 26 × 10331 × 41331
LCM(66112,66128) = 273240896