What is the Least Common Multiple of 74296 and 74303?

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 74296 and 74303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74296 and 74303, than apply into the LCM equation.

GCF(74296,74303) = 1
LCM(74296,74303) = ( 74296 × 74303) / 1
LCM(74296,74303) = 5520415688 / 1
LCM(74296,74303) = 5520415688

Least Common Multiple (LCM) of 74296 and 74303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74296 and 74303. First we will calculate the prime factors of 74296 and 74303.

Prime Factorization of 74296

Prime Factorization of 74303

Now multiplying the highest exponent prime factors to calculate the LCM of 74296 and 74303.

LCM(74296,74303) = 2³ × 37¹ × 251¹ × 67¹ × 1109¹
LCM(74296,74303) = 5520415688