What is the Least Common Multiple of 74000 and 74020?

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 74000 and 74020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74000 and 74020, than apply into the LCM equation.

GCF(74000,74020) = 20
LCM(74000,74020) = ( 74000 × 74020) / 20
LCM(74000,74020) = 5477480000 / 20
LCM(74000,74020) = 273874000

Least Common Multiple (LCM) of 74000 and 74020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74000 and 74020. First we will calculate the prime factors of 74000 and 74020.

Prime Factorization of 74000

Prime Factorization of 74020

Now multiplying the highest exponent prime factors to calculate the LCM of 74000 and 74020.

LCM(74000,74020) = 2⁴ × 5³ × 37¹ × 3701¹
LCM(74000,74020) = 273874000