What is the Least Common Multiple of 50652 and 50669?

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 50669 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 50669, than apply into the LCM equation.

GCF(50652,50669) = 1
LCM(50652,50669) = ( 50652 × 50669) / 1
LCM(50652,50669) = 2566486188 / 1
LCM(50652,50669) = 2566486188

Least Common Multiple (LCM) of 50652 and 50669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50652 and 50669. First we will calculate the prime factors of 50652 and 50669.

Prime Factorization of 50652

Prime Factorization of 50669

Now multiplying the highest exponent prime factors to calculate the LCM of 50652 and 50669.

LCM(50652,50669) = 2² × 3³ × 7¹ × 67¹ × 23¹ × 2203¹
LCM(50652,50669) = 2566486188