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What is the Least Common Multiple of 67128 and 67136?

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 67128 and 67136 is 563338176.

LCM(67128,67136) = 563338176

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Least Common Multiple of 67128 and 67136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67128 and 67136, than apply into the LCM equation.

GCF(67128,67136) = 8
LCM(67128,67136) = ( 67128 × 67136) / 8
LCM(67128,67136) = 4506705408 / 8
LCM(67128,67136) = 563338176

Least Common Multiple (LCM) of 67128 and 67136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67128 and 67136. First we will calculate the prime factors of 67128 and 67136.

Prime Factorization of 67128

Prime factors of 67128 are 2, 3, 2797. Prime factorization of 67128 in exponential form is:

67128 = 23 × 31 × 27971

Prime Factorization of 67136

Prime factors of 67136 are 2, 1049. Prime factorization of 67136 in exponential form is:

67136 = 26 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 67128 and 67136.

LCM(67128,67136) = 26 × 31 × 27971 × 10491
LCM(67128,67136) = 563338176