What is the Least Common Multiple of 50640 and 50652?

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 50640 and 50652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50640 and 50652, than apply into the LCM equation.

GCF(50640,50652) = 12
LCM(50640,50652) = ( 50640 × 50652) / 12
LCM(50640,50652) = 2565017280 / 12
LCM(50640,50652) = 213751440

Least Common Multiple (LCM) of 50640 and 50652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50640 and 50652. First we will calculate the prime factors of 50640 and 50652.

Prime Factorization of 50640

Prime Factorization of 50652

Now multiplying the highest exponent prime factors to calculate the LCM of 50640 and 50652.

LCM(50640,50652) = 2⁴ × 3³ × 5¹ × 211¹ × 7¹ × 67¹
LCM(50640,50652) = 213751440