What is the Least Common Multiple of 79407 and 79427?

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 79407 and 79427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79407 and 79427, than apply into the LCM equation.

GCF(79407,79427) = 1
LCM(79407,79427) = ( 79407 × 79427) / 1
LCM(79407,79427) = 6307059789 / 1
LCM(79407,79427) = 6307059789

Least Common Multiple (LCM) of 79407 and 79427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79407 and 79427. First we will calculate the prime factors of 79407 and 79427.

Prime Factorization of 79407

Prime Factorization of 79427

Now multiplying the highest exponent prime factors to calculate the LCM of 79407 and 79427.

LCM(79407,79427) = 3³ × 17¹ × 173¹ × 79427¹
LCM(79407,79427) = 6307059789