What is the Least Common Multiple of 50640 and 50660?

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 50660 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 50660, than apply into the LCM equation.

GCF(50640,50660) = 20
LCM(50640,50660) = ( 50640 × 50660) / 20
LCM(50640,50660) = 2565422400 / 20
LCM(50640,50660) = 128271120

Least Common Multiple (LCM) of 50640 and 50660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50640 and 50660. First we will calculate the prime factors of 50640 and 50660.

Prime Factorization of 50640

Prime Factorization of 50660

Now multiplying the highest exponent prime factors to calculate the LCM of 50640 and 50660.

LCM(50640,50660) = 2⁴ × 3¹ × 5¹ × 211¹ × 17¹ × 149¹
LCM(50640,50660) = 128271120