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What is the Least Common Multiple of 50784 and 50795?

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 50784 and 50795 is 2579573280.

LCM(50784,50795) = 2579573280

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Least Common Multiple of 50784 and 50795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50784 and 50795, than apply into the LCM equation.

GCF(50784,50795) = 1
LCM(50784,50795) = ( 50784 × 50795) / 1
LCM(50784,50795) = 2579573280 / 1
LCM(50784,50795) = 2579573280

Least Common Multiple (LCM) of 50784 and 50795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50784 and 50795. First we will calculate the prime factors of 50784 and 50795.

Prime Factorization of 50784

Prime factors of 50784 are 2, 3, 23. Prime factorization of 50784 in exponential form is:

50784 = 25 × 31 × 232

Prime Factorization of 50795

Prime factors of 50795 are 5, 10159. Prime factorization of 50795 in exponential form is:

50795 = 51 × 101591

Now multiplying the highest exponent prime factors to calculate the LCM of 50784 and 50795.

LCM(50784,50795) = 25 × 31 × 232 × 51 × 101591
LCM(50784,50795) = 2579573280