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What is the Least Common Multiple of 52733 and 52737?

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 52733 and 52737 is 2780980221.

LCM(52733,52737) = 2780980221

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Least Common Multiple of 52733 and 52737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52733 and 52737, than apply into the LCM equation.

GCF(52733,52737) = 1
LCM(52733,52737) = ( 52733 × 52737) / 1
LCM(52733,52737) = 2780980221 / 1
LCM(52733,52737) = 2780980221

Least Common Multiple (LCM) of 52733 and 52737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52733 and 52737. First we will calculate the prime factors of 52733 and 52737.

Prime Factorization of 52733

Prime factors of 52733 are 52733. Prime factorization of 52733 in exponential form is:

52733 = 527331

Prime Factorization of 52737

Prime factors of 52737 are 3, 17579. Prime factorization of 52737 in exponential form is:

52737 = 31 × 175791

Now multiplying the highest exponent prime factors to calculate the LCM of 52733 and 52737.

LCM(52733,52737) = 527331 × 31 × 175791
LCM(52733,52737) = 2780980221