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What is the Least Common Multiple of 67648 and 67656?

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 67648 and 67656 is 572099136.

LCM(67648,67656) = 572099136

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Least Common Multiple of 67648 and 67656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67648 and 67656, than apply into the LCM equation.

GCF(67648,67656) = 8
LCM(67648,67656) = ( 67648 × 67656) / 8
LCM(67648,67656) = 4576793088 / 8
LCM(67648,67656) = 572099136

Least Common Multiple (LCM) of 67648 and 67656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67648 and 67656. First we will calculate the prime factors of 67648 and 67656.

Prime Factorization of 67648

Prime factors of 67648 are 2, 7, 151. Prime factorization of 67648 in exponential form is:

67648 = 26 × 71 × 1511

Prime Factorization of 67656

Prime factors of 67656 are 2, 3, 2819. Prime factorization of 67656 in exponential form is:

67656 = 23 × 31 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 67648 and 67656.

LCM(67648,67656) = 26 × 71 × 1511 × 31 × 28191
LCM(67648,67656) = 572099136