What is the Least Common Multiple of 53595 and 53613?

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 53595 and 53613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53595 and 53613, than apply into the LCM equation.

GCF(53595,53613) = 9
LCM(53595,53613) = ( 53595 × 53613) / 9
LCM(53595,53613) = 2873388735 / 9
LCM(53595,53613) = 319265415

Least Common Multiple (LCM) of 53595 and 53613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53595 and 53613. First we will calculate the prime factors of 53595 and 53613.

Prime Factorization of 53595

Prime Factorization of 53613

Now multiplying the highest exponent prime factors to calculate the LCM of 53595 and 53613.

LCM(53595,53613) = 3³ × 5¹ × 397¹ × 7¹ × 23¹ × 37¹
LCM(53595,53613) = 319265415