What is the Least Common Multiple of 53580 and 53595?

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 53595 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 53595, than apply into the LCM equation.

GCF(53580,53595) = 15
LCM(53580,53595) = ( 53580 × 53595) / 15
LCM(53580,53595) = 2871620100 / 15
LCM(53580,53595) = 191441340

Least Common Multiple (LCM) of 53580 and 53595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53580 and 53595. First we will calculate the prime factors of 53580 and 53595.

Prime Factorization of 53580

Prime Factorization of 53595

Now multiplying the highest exponent prime factors to calculate the LCM of 53580 and 53595.

LCM(53580,53595) = 2² × 3³ × 5¹ × 19¹ × 47¹ × 397¹
LCM(53580,53595) = 191441340