What is the Least Common Multiple of 53580 and 53598?

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 53580 and 53598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53580 and 53598, than apply into the LCM equation.

GCF(53580,53598) = 6
LCM(53580,53598) = ( 53580 × 53598) / 6
LCM(53580,53598) = 2871780840 / 6
LCM(53580,53598) = 478630140

Least Common Multiple (LCM) of 53580 and 53598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53580 and 53598. First we will calculate the prime factors of 53580 and 53598.

Prime Factorization of 53580

Prime Factorization of 53598

Now multiplying the highest exponent prime factors to calculate the LCM of 53580 and 53598.

LCM(53580,53598) = 2² × 3¹ × 5¹ × 19¹ × 47¹ × 8933¹
LCM(53580,53598) = 478630140