What is the Least Common Multiple of 74304 and 74312?

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 74312 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 74312, than apply into the LCM equation.

GCF(74304,74312) = 8
LCM(74304,74312) = ( 74304 × 74312) / 8
LCM(74304,74312) = 5521678848 / 8
LCM(74304,74312) = 690209856

Least Common Multiple (LCM) of 74304 and 74312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74304 and 74312. First we will calculate the prime factors of 74304 and 74312.

Prime Factorization of 74304

Prime Factorization of 74312

Now multiplying the highest exponent prime factors to calculate the LCM of 74304 and 74312.

LCM(74304,74312) = 2⁶ × 3³ × 43¹ × 7¹ × 1327¹
LCM(74304,74312) = 690209856