What is the Least Common Multiple of 21540 and 21550?

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 21540 and 21550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21540 and 21550, than apply into the LCM equation.

GCF(21540,21550) = 10
LCM(21540,21550) = ( 21540 × 21550) / 10
LCM(21540,21550) = 464187000 / 10
LCM(21540,21550) = 46418700

Least Common Multiple (LCM) of 21540 and 21550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21540 and 21550. First we will calculate the prime factors of 21540 and 21550.

Prime Factorization of 21540

Prime Factorization of 21550

Now multiplying the highest exponent prime factors to calculate the LCM of 21540 and 21550.

LCM(21540,21550) = 2² × 3¹ × 5² × 359¹ × 431¹
LCM(21540,21550) = 46418700