What is the Least Common Multiple of 74304 and 74319?

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 74304 and 74319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74304 and 74319, than apply into the LCM equation.

GCF(74304,74319) = 3
LCM(74304,74319) = ( 74304 × 74319) / 3
LCM(74304,74319) = 5522198976 / 3
LCM(74304,74319) = 1840732992

Least Common Multiple (LCM) of 74304 and 74319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74304 and 74319. First we will calculate the prime factors of 74304 and 74319.

Prime Factorization of 74304

Prime Factorization of 74319

Now multiplying the highest exponent prime factors to calculate the LCM of 74304 and 74319.

LCM(74304,74319) = 2⁶ × 3³ × 43¹ × 7¹ × 3539¹
LCM(74304,74319) = 1840732992