What is the Least Common Multiple of 39013 and 39021?

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 39013 and 39021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39013 and 39021, than apply into the LCM equation.

GCF(39013,39021) = 1
LCM(39013,39021) = ( 39013 × 39021) / 1
LCM(39013,39021) = 1522326273 / 1
LCM(39013,39021) = 1522326273

Least Common Multiple (LCM) of 39013 and 39021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39013 and 39021. First we will calculate the prime factors of 39013 and 39021.

Prime Factorization of 39013

Prime Factorization of 39021

Now multiplying the highest exponent prime factors to calculate the LCM of 39013 and 39021.

LCM(39013,39021) = 13¹ × 3001¹ × 3¹ × 13007¹
LCM(39013,39021) = 1522326273