What is the Least Common Multiple of 21270 and 21286?

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 21286 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 21286, than apply into the LCM equation.

GCF(21270,21286) = 2
LCM(21270,21286) = ( 21270 × 21286) / 2
LCM(21270,21286) = 452753220 / 2
LCM(21270,21286) = 226376610

Least Common Multiple (LCM) of 21270 and 21286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21270 and 21286. First we will calculate the prime factors of 21270 and 21286.

Prime Factorization of 21270

Prime Factorization of 21286

Now multiplying the highest exponent prime factors to calculate the LCM of 21270 and 21286.

LCM(21270,21286) = 2¹ × 3¹ × 5¹ × 709¹ × 29¹ × 367¹
LCM(21270,21286) = 226376610