What is the Least Common Multiple of 21255 and 21272?

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 21255 and 21272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21255 and 21272, than apply into the LCM equation.

GCF(21255,21272) = 1
LCM(21255,21272) = ( 21255 × 21272) / 1
LCM(21255,21272) = 452136360 / 1
LCM(21255,21272) = 452136360

Least Common Multiple (LCM) of 21255 and 21272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21255 and 21272. First we will calculate the prime factors of 21255 and 21272.

Prime Factorization of 21255

Prime Factorization of 21272

Now multiplying the highest exponent prime factors to calculate the LCM of 21255 and 21272.

LCM(21255,21272) = 3¹ × 5¹ × 13¹ × 109¹ × 2³ × 2659¹
LCM(21255,21272) = 452136360