What is the Least Common Multiple of 79074 and 79083?

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 79074 and 79083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79074 and 79083, than apply into the LCM equation.

GCF(79074,79083) = 9
LCM(79074,79083) = ( 79074 × 79083) / 9
LCM(79074,79083) = 6253409142 / 9
LCM(79074,79083) = 694823238

Least Common Multiple (LCM) of 79074 and 79083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79074 and 79083. First we will calculate the prime factors of 79074 and 79083.

Prime Factorization of 79074

Prime Factorization of 79083

Now multiplying the highest exponent prime factors to calculate the LCM of 79074 and 79083.

LCM(79074,79083) = 2¹ × 3³ × 23¹ × 191¹ × 29¹ × 101¹
LCM(79074,79083) = 694823238