What is the Least Common Multiple of 42404 and 42421?

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 42404 and 42421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42404 and 42421, than apply into the LCM equation.

GCF(42404,42421) = 1
LCM(42404,42421) = ( 42404 × 42421) / 1
LCM(42404,42421) = 1798820084 / 1
LCM(42404,42421) = 1798820084

Least Common Multiple (LCM) of 42404 and 42421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42404 and 42421. First we will calculate the prime factors of 42404 and 42421.

Prime Factorization of 42404

Prime Factorization of 42421

Now multiplying the highest exponent prime factors to calculate the LCM of 42404 and 42421.

LCM(42404,42421) = 2² × 10601¹ × 59¹ × 719¹
LCM(42404,42421) = 1798820084