What is the Least Common Multiple of 42270 and 42281?

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 42281 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 42281, than apply into the LCM equation.

GCF(42270,42281) = 1
LCM(42270,42281) = ( 42270 × 42281) / 1
LCM(42270,42281) = 1787217870 / 1
LCM(42270,42281) = 1787217870

Least Common Multiple (LCM) of 42270 and 42281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42270 and 42281. First we will calculate the prime factors of 42270 and 42281.

Prime Factorization of 42270

Prime Factorization of 42281

Now multiplying the highest exponent prime factors to calculate the LCM of 42270 and 42281.

LCM(42270,42281) = 2¹ × 3¹ × 5¹ × 1409¹ × 42281¹
LCM(42270,42281) = 1787217870