What is the Least Common Multiple of 74068 and 74079?

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 74068 and 74079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74068 and 74079, than apply into the LCM equation.

GCF(74068,74079) = 1
LCM(74068,74079) = ( 74068 × 74079) / 1
LCM(74068,74079) = 5486883372 / 1
LCM(74068,74079) = 5486883372

Least Common Multiple (LCM) of 74068 and 74079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74068 and 74079. First we will calculate the prime factors of 74068 and 74079.

Prime Factorization of 74068

Prime Factorization of 74079

Now multiplying the highest exponent prime factors to calculate the LCM of 74068 and 74079.

LCM(74068,74079) = 2² × 18517¹ × 3² × 8231¹
LCM(74068,74079) = 5486883372