What is the Least Common Multiple of 50628 and 50642?

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 50628 and 50642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50628 and 50642, than apply into the LCM equation.

GCF(50628,50642) = 2
LCM(50628,50642) = ( 50628 × 50642) / 2
LCM(50628,50642) = 2563903176 / 2
LCM(50628,50642) = 1281951588

Least Common Multiple (LCM) of 50628 and 50642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50628 and 50642. First we will calculate the prime factors of 50628 and 50642.

Prime Factorization of 50628

Prime Factorization of 50642

Now multiplying the highest exponent prime factors to calculate the LCM of 50628 and 50642.

LCM(50628,50642) = 2² × 3¹ × 4219¹ × 25321¹
LCM(50628,50642) = 1281951588