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What is the Least Common Multiple of 53629 and 53642?

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 53629 and 53642 is 2876766818.

LCM(53629,53642) = 2876766818

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Least Common Multiple of 53629 and 53642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53629 and 53642, than apply into the LCM equation.

GCF(53629,53642) = 1
LCM(53629,53642) = ( 53629 × 53642) / 1
LCM(53629,53642) = 2876766818 / 1
LCM(53629,53642) = 2876766818

Least Common Multiple (LCM) of 53629 and 53642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53629 and 53642. First we will calculate the prime factors of 53629 and 53642.

Prime Factorization of 53629

Prime factors of 53629 are 53629. Prime factorization of 53629 in exponential form is:

53629 = 536291

Prime Factorization of 53642

Prime factors of 53642 are 2, 26821. Prime factorization of 53642 in exponential form is:

53642 = 21 × 268211

Now multiplying the highest exponent prime factors to calculate the LCM of 53629 and 53642.

LCM(53629,53642) = 536291 × 21 × 268211
LCM(53629,53642) = 2876766818