What is the Least Common Multiple of 21549 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 21549 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 21549 and 21560, than apply into the LCM equation.

GCF(21549,21560) = 11
LCM(21549,21560) = ( 21549 × 21560) / 11
LCM(21549,21560) = 464596440 / 11
LCM(21549,21560) = 42236040

Least Common Multiple (LCM) of 21549 and 21560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21549 and 21560. First we will calculate the prime factors of 21549 and 21560.

Prime Factorization of 21549

Prime Factorization of 21560

Now multiplying the highest exponent prime factors to calculate the LCM of 21549 and 21560.

LCM(21549,21560) = 3¹ × 11¹ × 653¹ × 2³ × 5¹ × 7²
LCM(21549,21560) = 42236040