What is the Least Common Multiple of 21270 and 21280?

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 21270 and 21280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21270 and 21280, than apply into the LCM equation.

GCF(21270,21280) = 10
LCM(21270,21280) = ( 21270 × 21280) / 10
LCM(21270,21280) = 452625600 / 10
LCM(21270,21280) = 45262560

Least Common Multiple (LCM) of 21270 and 21280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21270 and 21280. First we will calculate the prime factors of 21270 and 21280.

Prime Factorization of 21270

Prime Factorization of 21280

Now multiplying the highest exponent prime factors to calculate the LCM of 21270 and 21280.

LCM(21270,21280) = 2⁵ × 3¹ × 5¹ × 709¹ × 7¹ × 19¹
LCM(21270,21280) = 45262560