What is the Least Common Multiple of 50640 and 50650?

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 50650 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 50650, than apply into the LCM equation.

GCF(50640,50650) = 10
LCM(50640,50650) = ( 50640 × 50650) / 10
LCM(50640,50650) = 2564916000 / 10
LCM(50640,50650) = 256491600

Least Common Multiple (LCM) of 50640 and 50650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50640 and 50650. First we will calculate the prime factors of 50640 and 50650.

Prime Factorization of 50640

Prime Factorization of 50650

Now multiplying the highest exponent prime factors to calculate the LCM of 50640 and 50650.

LCM(50640,50650) = 2⁴ × 3¹ × 5² × 211¹ × 1013¹
LCM(50640,50650) = 256491600