What is the Least Common Multiple of 50928 and 50943?

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 50928 and 50943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50928 and 50943, than apply into the LCM equation.

GCF(50928,50943) = 3
LCM(50928,50943) = ( 50928 × 50943) / 3
LCM(50928,50943) = 2594425104 / 3
LCM(50928,50943) = 864808368

Least Common Multiple (LCM) of 50928 and 50943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50928 and 50943. First we will calculate the prime factors of 50928 and 50943.

Prime Factorization of 50928

Prime Factorization of 50943

Now multiplying the highest exponent prime factors to calculate the LCM of 50928 and 50943.

LCM(50928,50943) = 2⁴ × 3¹ × 1061¹ × 16981¹
LCM(50928,50943) = 864808368