What is the Least Common Multiple of 50528 and 50546?

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 50528 and 50546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50528 and 50546, than apply into the LCM equation.

GCF(50528,50546) = 2
LCM(50528,50546) = ( 50528 × 50546) / 2
LCM(50528,50546) = 2553988288 / 2
LCM(50528,50546) = 1276994144

Least Common Multiple (LCM) of 50528 and 50546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50528 and 50546. First we will calculate the prime factors of 50528 and 50546.

Prime Factorization of 50528

Prime Factorization of 50546

Now multiplying the highest exponent prime factors to calculate the LCM of 50528 and 50546.

LCM(50528,50546) = 2⁵ × 1579¹ × 127¹ × 199¹
LCM(50528,50546) = 1276994144