What is the Least Common Multiple of 50652 and 50662?

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 50652 and 50662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50652 and 50662, than apply into the LCM equation.

GCF(50652,50662) = 2
LCM(50652,50662) = ( 50652 × 50662) / 2
LCM(50652,50662) = 2566131624 / 2
LCM(50652,50662) = 1283065812

Least Common Multiple (LCM) of 50652 and 50662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50652 and 50662. First we will calculate the prime factors of 50652 and 50662.

Prime Factorization of 50652

Prime Factorization of 50662

Now multiplying the highest exponent prime factors to calculate the LCM of 50652 and 50662.

LCM(50652,50662) = 2² × 3³ × 7¹ × 67¹ × 73¹ × 347¹
LCM(50652,50662) = 1283065812