What is the Least Common Multiple of 74118 and 74133?

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 74118 and 74133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74118 and 74133, than apply into the LCM equation.

GCF(74118,74133) = 3
LCM(74118,74133) = ( 74118 × 74133) / 3
LCM(74118,74133) = 5494589694 / 3
LCM(74118,74133) = 1831529898

Least Common Multiple (LCM) of 74118 and 74133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74118 and 74133. First we will calculate the prime factors of 74118 and 74133.

Prime Factorization of 74118

Prime Factorization of 74133

Now multiplying the highest exponent prime factors to calculate the LCM of 74118 and 74133.

LCM(74118,74133) = 2¹ × 3² × 11¹ × 1123¹ × 8237¹
LCM(74118,74133) = 1831529898