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What is the Least Common Multiple of 50732 and 50736?

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 50732 and 50736 is 643484688.

LCM(50732,50736) = 643484688

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Least Common Multiple of 50732 and 50736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50732 and 50736, than apply into the LCM equation.

GCF(50732,50736) = 4
LCM(50732,50736) = ( 50732 × 50736) / 4
LCM(50732,50736) = 2573938752 / 4
LCM(50732,50736) = 643484688

Least Common Multiple (LCM) of 50732 and 50736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50732 and 50736. First we will calculate the prime factors of 50732 and 50736.

Prime Factorization of 50732

Prime factors of 50732 are 2, 11, 1153. Prime factorization of 50732 in exponential form is:

50732 = 22 × 111 × 11531

Prime Factorization of 50736

Prime factors of 50736 are 2, 3, 7, 151. Prime factorization of 50736 in exponential form is:

50736 = 24 × 31 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 50732 and 50736.

LCM(50732,50736) = 24 × 111 × 11531 × 31 × 71 × 1511
LCM(50732,50736) = 643484688