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What is the Least Common Multiple of 56733 and 56752?

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 56733 and 56752 is 3219711216.

LCM(56733,56752) = 3219711216

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Least Common Multiple of 56733 and 56752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56733 and 56752, than apply into the LCM equation.

GCF(56733,56752) = 1
LCM(56733,56752) = ( 56733 × 56752) / 1
LCM(56733,56752) = 3219711216 / 1
LCM(56733,56752) = 3219711216

Least Common Multiple (LCM) of 56733 and 56752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56733 and 56752. First we will calculate the prime factors of 56733 and 56752.

Prime Factorization of 56733

Prime factors of 56733 are 3, 18911. Prime factorization of 56733 in exponential form is:

56733 = 31 × 189111

Prime Factorization of 56752

Prime factors of 56752 are 2, 3547. Prime factorization of 56752 in exponential form is:

56752 = 24 × 35471

Now multiplying the highest exponent prime factors to calculate the LCM of 56733 and 56752.

LCM(56733,56752) = 31 × 189111 × 24 × 35471
LCM(56733,56752) = 3219711216