What is the Least Common Multiple of 39360 and 39379?

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 39360 and 39379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39360 and 39379, than apply into the LCM equation.

GCF(39360,39379) = 1
LCM(39360,39379) = ( 39360 × 39379) / 1
LCM(39360,39379) = 1549957440 / 1
LCM(39360,39379) = 1549957440

Least Common Multiple (LCM) of 39360 and 39379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39360 and 39379. First we will calculate the prime factors of 39360 and 39379.

Prime Factorization of 39360

Prime Factorization of 39379

Now multiplying the highest exponent prime factors to calculate the LCM of 39360 and 39379.

LCM(39360,39379) = 2⁶ × 3¹ × 5¹ × 41¹ × 53¹ × 743¹
LCM(39360,39379) = 1549957440