What is the Least Common Multiple of 74278 and 74296?

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 74278 and 74296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74278 and 74296, than apply into the LCM equation.

GCF(74278,74296) = 2
LCM(74278,74296) = ( 74278 × 74296) / 2
LCM(74278,74296) = 5518558288 / 2
LCM(74278,74296) = 2759279144

Least Common Multiple (LCM) of 74278 and 74296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74278 and 74296. First we will calculate the prime factors of 74278 and 74296.

Prime Factorization of 74278

Prime Factorization of 74296

Now multiplying the highest exponent prime factors to calculate the LCM of 74278 and 74296.

LCM(74278,74296) = 2³ × 37139¹ × 37¹ × 251¹
LCM(74278,74296) = 2759279144