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What is the Least Common Multiple of 50736 and 50752?

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 50736 and 50752 is 160934592.

LCM(50736,50752) = 160934592

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Least Common Multiple of 50736 and 50752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50736 and 50752, than apply into the LCM equation.

GCF(50736,50752) = 16
LCM(50736,50752) = ( 50736 × 50752) / 16
LCM(50736,50752) = 2574953472 / 16
LCM(50736,50752) = 160934592

Least Common Multiple (LCM) of 50736 and 50752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50736 and 50752. First we will calculate the prime factors of 50736 and 50752.

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

Prime Factorization of 50752

Prime factors of 50752 are 2, 13, 61. Prime factorization of 50752 in exponential form is:

50752 = 26 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 50736 and 50752.

LCM(50736,50752) = 26 × 31 × 71 × 1511 × 131 × 611
LCM(50736,50752) = 160934592