What is the Least Common Multiple of 74320 and 74325?

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 74320 and 74325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74320 and 74325, than apply into the LCM equation.

GCF(74320,74325) = 5
LCM(74320,74325) = ( 74320 × 74325) / 5
LCM(74320,74325) = 5523834000 / 5
LCM(74320,74325) = 1104766800

Least Common Multiple (LCM) of 74320 and 74325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74320 and 74325. First we will calculate the prime factors of 74320 and 74325.

Prime Factorization of 74320

Prime Factorization of 74325

Now multiplying the highest exponent prime factors to calculate the LCM of 74320 and 74325.

LCM(74320,74325) = 2⁴ × 5² × 929¹ × 3¹ × 991¹
LCM(74320,74325) = 1104766800