What is the Least Common Multiple of 21520 and 21540?

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 21520 and 21540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21520 and 21540, than apply into the LCM equation.

GCF(21520,21540) = 20
LCM(21520,21540) = ( 21520 × 21540) / 20
LCM(21520,21540) = 463540800 / 20
LCM(21520,21540) = 23177040

Least Common Multiple (LCM) of 21520 and 21540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21520 and 21540. First we will calculate the prime factors of 21520 and 21540.

Prime Factorization of 21520

Prime Factorization of 21540

Now multiplying the highest exponent prime factors to calculate the LCM of 21520 and 21540.

LCM(21520,21540) = 2⁴ × 5¹ × 269¹ × 3¹ × 359¹
LCM(21520,21540) = 23177040