What is the Least Common Multiple of 79589 and 79606?

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 79589 and 79606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79589 and 79606, than apply into the LCM equation.

GCF(79589,79606) = 1
LCM(79589,79606) = ( 79589 × 79606) / 1
LCM(79589,79606) = 6335761934 / 1
LCM(79589,79606) = 6335761934

Least Common Multiple (LCM) of 79589 and 79606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79589 and 79606. First we will calculate the prime factors of 79589 and 79606.

Prime Factorization of 79589

Prime Factorization of 79606

Now multiplying the highest exponent prime factors to calculate the LCM of 79589 and 79606.

LCM(79589,79606) = 79589¹ × 2¹ × 53¹ × 751¹
LCM(79589,79606) = 6335761934