What is the Least Common Multiple of 42270 and 42288?

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 42270 and 42288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42270 and 42288, than apply into the LCM equation.

GCF(42270,42288) = 6
LCM(42270,42288) = ( 42270 × 42288) / 6
LCM(42270,42288) = 1787513760 / 6
LCM(42270,42288) = 297918960

Least Common Multiple (LCM) of 42270 and 42288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42270 and 42288. First we will calculate the prime factors of 42270 and 42288.

Prime Factorization of 42270

Prime Factorization of 42288

Now multiplying the highest exponent prime factors to calculate the LCM of 42270 and 42288.

LCM(42270,42288) = 2⁴ × 3¹ × 5¹ × 1409¹ × 881¹
LCM(42270,42288) = 297918960