What is the Least Common Multiple of 39407 and 39421?

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 39407 and 39421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39407 and 39421, than apply into the LCM equation.

GCF(39407,39421) = 1
LCM(39407,39421) = ( 39407 × 39421) / 1
LCM(39407,39421) = 1553463347 / 1
LCM(39407,39421) = 1553463347

Least Common Multiple (LCM) of 39407 and 39421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39407 and 39421. First we will calculate the prime factors of 39407 and 39421.

Prime Factorization of 39407

Prime Factorization of 39421

Now multiplying the highest exponent prime factors to calculate the LCM of 39407 and 39421.

LCM(39407,39421) = 157¹ × 251¹ × 79¹ × 499¹
LCM(39407,39421) = 1553463347