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What is the Least Common Multiple of 50789 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 50789 and 50795 is 2579827255.

LCM(50789,50795) = 2579827255

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Least Common Multiple of 50789 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 50789 and 50795, than apply into the LCM equation.

GCF(50789,50795) = 1
LCM(50789,50795) = ( 50789 × 50795) / 1
LCM(50789,50795) = 2579827255 / 1
LCM(50789,50795) = 2579827255

Least Common Multiple (LCM) of 50789 and 50795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50789 and 50795. First we will calculate the prime factors of 50789 and 50795.

Prime Factorization of 50789

Prime factors of 50789 are 50789. Prime factorization of 50789 in exponential form is:

50789 = 507891

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 50789 and 50795.

LCM(50789,50795) = 507891 × 51 × 101591
LCM(50789,50795) = 2579827255