What is the Least Common Multiple of 74012 and 74025?

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 74012 and 74025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74012 and 74025, than apply into the LCM equation.

GCF(74012,74025) = 1
LCM(74012,74025) = ( 74012 × 74025) / 1
LCM(74012,74025) = 5478738300 / 1
LCM(74012,74025) = 5478738300

Least Common Multiple (LCM) of 74012 and 74025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74012 and 74025. First we will calculate the prime factors of 74012 and 74025.

Prime Factorization of 74012

Prime Factorization of 74025

Now multiplying the highest exponent prime factors to calculate the LCM of 74012 and 74025.

LCM(74012,74025) = 2² × 18503¹ × 3² × 5² × 7¹ × 47¹
LCM(74012,74025) = 5478738300