What is the Least Common Multiple of 74312 and 74326?

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 74312 and 74326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74312 and 74326, than apply into the LCM equation.

GCF(74312,74326) = 14
LCM(74312,74326) = ( 74312 × 74326) / 14
LCM(74312,74326) = 5523313712 / 14
LCM(74312,74326) = 394522408

Least Common Multiple (LCM) of 74312 and 74326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74312 and 74326. First we will calculate the prime factors of 74312 and 74326.

Prime Factorization of 74312

Prime Factorization of 74326

Now multiplying the highest exponent prime factors to calculate the LCM of 74312 and 74326.

LCM(74312,74326) = 2³ × 7¹ × 1327¹ × 5309¹
LCM(74312,74326) = 394522408