What is the Least Common Multiple of 21528 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 21528 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 21528 and 21540, than apply into the LCM equation.

GCF(21528,21540) = 12
LCM(21528,21540) = ( 21528 × 21540) / 12
LCM(21528,21540) = 463713120 / 12
LCM(21528,21540) = 38642760

Least Common Multiple (LCM) of 21528 and 21540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21528 and 21540. First we will calculate the prime factors of 21528 and 21540.

Prime Factorization of 21528

Prime Factorization of 21540

Now multiplying the highest exponent prime factors to calculate the LCM of 21528 and 21540.

LCM(21528,21540) = 2³ × 3² × 13¹ × 23¹ × 5¹ × 359¹
LCM(21528,21540) = 38642760