What is the Least Common Multiple of 50634 and 50644?

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 50634 and 50644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50634 and 50644, than apply into the LCM equation.

GCF(50634,50644) = 2
LCM(50634,50644) = ( 50634 × 50644) / 2
LCM(50634,50644) = 2564308296 / 2
LCM(50634,50644) = 1282154148

Least Common Multiple (LCM) of 50634 and 50644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50634 and 50644. First we will calculate the prime factors of 50634 and 50644.

Prime Factorization of 50634

Prime Factorization of 50644

Now multiplying the highest exponent prime factors to calculate the LCM of 50634 and 50644.

LCM(50634,50644) = 2² × 3² × 29¹ × 97¹ × 11¹ × 1151¹
LCM(50634,50644) = 1282154148