What is the Least Common Multiple of 50824 and 50828?

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 of 50824 and 50828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50824 and 50828, than apply into the LCM equation.

GCF(50824,50828) = 4
LCM(50824,50828) = ( 50824 × 50828) / 4
LCM(50824,50828) = 2583282272 / 4
LCM(50824,50828) = 645820568

Least Common Multiple (LCM) of 50824 and 50828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50824 and 50828. First we will calculate the prime factors of 50824 and 50828.

Prime Factorization of 50824

Prime Factorization of 50828

Now multiplying the highest exponent prime factors to calculate the LCM of 50824 and 50828.

LCM(50824,50828) = 2³ × 6353¹ × 97¹ × 131¹
LCM(50824,50828) = 645820568