What is the Least Common Multiple of 39590 and 39595?

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 39590 and 39595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39590 and 39595, than apply into the LCM equation.

GCF(39590,39595) = 5
LCM(39590,39595) = ( 39590 × 39595) / 5
LCM(39590,39595) = 1567566050 / 5
LCM(39590,39595) = 313513210

Least Common Multiple (LCM) of 39590 and 39595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39590 and 39595. First we will calculate the prime factors of 39590 and 39595.

Prime Factorization of 39590

Prime Factorization of 39595

Now multiplying the highest exponent prime factors to calculate the LCM of 39590 and 39595.

LCM(39590,39595) = 2¹ × 5¹ × 37¹ × 107¹ × 7919¹
LCM(39590,39595) = 313513210