What is the Least Common Multiple of 74074 and 74087?

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 74074 and 74087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74074 and 74087, than apply into the LCM equation.

GCF(74074,74087) = 13
LCM(74074,74087) = ( 74074 × 74087) / 13
LCM(74074,74087) = 5487920438 / 13
LCM(74074,74087) = 422147726

Least Common Multiple (LCM) of 74074 and 74087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74074 and 74087. First we will calculate the prime factors of 74074 and 74087.

Prime Factorization of 74074

Prime Factorization of 74087

Now multiplying the highest exponent prime factors to calculate the LCM of 74074 and 74087.

LCM(74074,74087) = 2¹ × 7¹ × 11¹ × 13¹ × 37¹ × 41¹ × 139¹
LCM(74074,74087) = 422147726