What is the Least Common Multiple of 21555 and 21560?

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 21555 and 21560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21555 and 21560, than apply into the LCM equation.

GCF(21555,21560) = 5
LCM(21555,21560) = ( 21555 × 21560) / 5
LCM(21555,21560) = 464725800 / 5
LCM(21555,21560) = 92945160

Least Common Multiple (LCM) of 21555 and 21560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21555 and 21560. First we will calculate the prime factors of 21555 and 21560.

Prime Factorization of 21555

Prime Factorization of 21560

Now multiplying the highest exponent prime factors to calculate the LCM of 21555 and 21560.

LCM(21555,21560) = 3² × 5¹ × 479¹ × 2³ × 7² × 11¹
LCM(21555,21560) = 92945160