What is the Least Common Multiple of 39074 and 39079?

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 39074 and 39079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39074 and 39079, than apply into the LCM equation.

GCF(39074,39079) = 1
LCM(39074,39079) = ( 39074 × 39079) / 1
LCM(39074,39079) = 1526972846 / 1
LCM(39074,39079) = 1526972846

Least Common Multiple (LCM) of 39074 and 39079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39074 and 39079. First we will calculate the prime factors of 39074 and 39079.

Prime Factorization of 39074

Prime Factorization of 39079

Now multiplying the highest exponent prime factors to calculate the LCM of 39074 and 39079.

LCM(39074,39079) = 2¹ × 7¹ × 2791¹ × 39079¹
LCM(39074,39079) = 1526972846