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What is the Least Common Multiple of 52635 and 52639?

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 52635 and 52639 is 2770653765.

LCM(52635,52639) = 2770653765

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Least Common Multiple of 52635 and 52639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52635 and 52639, than apply into the LCM equation.

GCF(52635,52639) = 1
LCM(52635,52639) = ( 52635 × 52639) / 1
LCM(52635,52639) = 2770653765 / 1
LCM(52635,52639) = 2770653765

Least Common Multiple (LCM) of 52635 and 52639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52635 and 52639. First we will calculate the prime factors of 52635 and 52639.

Prime Factorization of 52635

Prime factors of 52635 are 3, 5, 11, 29. Prime factorization of 52635 in exponential form is:

52635 = 31 × 51 × 112 × 291

Prime Factorization of 52639

Prime factors of 52639 are 52639. Prime factorization of 52639 in exponential form is:

52639 = 526391

Now multiplying the highest exponent prime factors to calculate the LCM of 52635 and 52639.

LCM(52635,52639) = 31 × 51 × 112 × 291 × 526391
LCM(52635,52639) = 2770653765