What is the Least Common Multiple of 21240 and 21260?

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 21240 and 21260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21240 and 21260, than apply into the LCM equation.

GCF(21240,21260) = 20
LCM(21240,21260) = ( 21240 × 21260) / 20
LCM(21240,21260) = 451562400 / 20
LCM(21240,21260) = 22578120

Least Common Multiple (LCM) of 21240 and 21260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21240 and 21260. First we will calculate the prime factors of 21240 and 21260.

Prime Factorization of 21240

Prime Factorization of 21260

Now multiplying the highest exponent prime factors to calculate the LCM of 21240 and 21260.

LCM(21240,21260) = 2³ × 3² × 5¹ × 59¹ × 1063¹
LCM(21240,21260) = 22578120