What is the Least Common Multiple of 53640 and 53649?

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 53649 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 53649, than apply into the LCM equation.

GCF(53640,53649) = 9
LCM(53640,53649) = ( 53640 × 53649) / 9
LCM(53640,53649) = 2877732360 / 9
LCM(53640,53649) = 319748040

Least Common Multiple (LCM) of 53640 and 53649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53640 and 53649. First we will calculate the prime factors of 53640 and 53649.

Prime Factorization of 53640

Prime Factorization of 53649

Now multiplying the highest exponent prime factors to calculate the LCM of 53640 and 53649.

LCM(53640,53649) = 2³ × 3³ × 5¹ × 149¹ × 1987¹
LCM(53640,53649) = 319748040