What is the Least Common Multiple of 42390 and 42410?

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 42390 and 42410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42390 and 42410, than apply into the LCM equation.

GCF(42390,42410) = 10
LCM(42390,42410) = ( 42390 × 42410) / 10
LCM(42390,42410) = 1797759900 / 10
LCM(42390,42410) = 179775990

Least Common Multiple (LCM) of 42390 and 42410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42390 and 42410. First we will calculate the prime factors of 42390 and 42410.

Prime Factorization of 42390

Prime Factorization of 42410

Now multiplying the highest exponent prime factors to calculate the LCM of 42390 and 42410.

LCM(42390,42410) = 2¹ × 3³ × 5¹ × 157¹ × 4241¹
LCM(42390,42410) = 179775990