What is the Least Common Multiple of 53605 and 53621?

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 53605 and 53621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53605 and 53621, than apply into the LCM equation.

GCF(53605,53621) = 1
LCM(53605,53621) = ( 53605 × 53621) / 1
LCM(53605,53621) = 2874353705 / 1
LCM(53605,53621) = 2874353705

Least Common Multiple (LCM) of 53605 and 53621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53605 and 53621. First we will calculate the prime factors of 53605 and 53621.

Prime Factorization of 53605

Prime Factorization of 53621

Now multiplying the highest exponent prime factors to calculate the LCM of 53605 and 53621.

LCM(53605,53621) = 5¹ × 71¹ × 151¹ × 29¹ × 43²
LCM(53605,53621) = 2874353705