What is the Least Common Multiple of 53640 and 53650?

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 53640 and 53650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53640 and 53650, than apply into the LCM equation.

GCF(53640,53650) = 10
LCM(53640,53650) = ( 53640 × 53650) / 10
LCM(53640,53650) = 2877786000 / 10
LCM(53640,53650) = 287778600

Least Common Multiple (LCM) of 53640 and 53650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53640 and 53650. First we will calculate the prime factors of 53640 and 53650.

Prime Factorization of 53640

Prime Factorization of 53650

Now multiplying the highest exponent prime factors to calculate the LCM of 53640 and 53650.

LCM(53640,53650) = 2³ × 3² × 5² × 149¹ × 29¹ × 37¹
LCM(53640,53650) = 287778600