What is the Least Common Multiple of 74320 and 74331?

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 74331 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 74331, than apply into the LCM equation.

GCF(74320,74331) = 1
LCM(74320,74331) = ( 74320 × 74331) / 1
LCM(74320,74331) = 5524279920 / 1
LCM(74320,74331) = 5524279920

Least Common Multiple (LCM) of 74320 and 74331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74320 and 74331. First we will calculate the prime factors of 74320 and 74331.

Prime Factorization of 74320

Prime Factorization of 74331

Now multiplying the highest exponent prime factors to calculate the LCM of 74320 and 74331.

LCM(74320,74331) = 2⁴ × 5¹ × 929¹ × 3³ × 2753¹
LCM(74320,74331) = 5524279920