What is the Least Common Multiple of 42270 and 42276?

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 42276 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 42276, than apply into the LCM equation.

GCF(42270,42276) = 6
LCM(42270,42276) = ( 42270 × 42276) / 6
LCM(42270,42276) = 1787006520 / 6
LCM(42270,42276) = 297834420

Least Common Multiple (LCM) of 42270 and 42276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42270 and 42276. First we will calculate the prime factors of 42270 and 42276.

Prime Factorization of 42270

Prime Factorization of 42276

Now multiplying the highest exponent prime factors to calculate the LCM of 42270 and 42276.

LCM(42270,42276) = 2² × 3¹ × 5¹ × 1409¹ × 13¹ × 271¹
LCM(42270,42276) = 297834420