What is the Least Common Multiple of 50928 and 50947?

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 50947 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 50947, than apply into the LCM equation.

GCF(50928,50947) = 1
LCM(50928,50947) = ( 50928 × 50947) / 1
LCM(50928,50947) = 2594628816 / 1
LCM(50928,50947) = 2594628816

Least Common Multiple (LCM) of 50928 and 50947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50928 and 50947. First we will calculate the prime factors of 50928 and 50947.

Prime Factorization of 50928

Prime Factorization of 50947

Now multiplying the highest exponent prime factors to calculate the LCM of 50928 and 50947.

LCM(50928,50947) = 2⁴ × 3¹ × 1061¹ × 13¹ × 3919¹
LCM(50928,50947) = 2594628816