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What is the Least Common Multiple of 67629 and 67645?

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 67629 and 67645 is 4574763705.

LCM(67629,67645) = 4574763705

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Least Common Multiple of 67629 and 67645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67629 and 67645, than apply into the LCM equation.

GCF(67629,67645) = 1
LCM(67629,67645) = ( 67629 × 67645) / 1
LCM(67629,67645) = 4574763705 / 1
LCM(67629,67645) = 4574763705

Least Common Multiple (LCM) of 67629 and 67645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67629 and 67645. First we will calculate the prime factors of 67629 and 67645.

Prime Factorization of 67629

Prime factors of 67629 are 3, 22543. Prime factorization of 67629 in exponential form is:

67629 = 31 × 225431

Prime Factorization of 67645

Prime factors of 67645 are 5, 83, 163. Prime factorization of 67645 in exponential form is:

67645 = 51 × 831 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 67629 and 67645.

LCM(67629,67645) = 31 × 225431 × 51 × 831 × 1631
LCM(67629,67645) = 4574763705