What is the Least Common Multiple of 74138 and 74152?

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 74138 and 74152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74138 and 74152, than apply into the LCM equation.

GCF(74138,74152) = 2
LCM(74138,74152) = ( 74138 × 74152) / 2
LCM(74138,74152) = 5497480976 / 2
LCM(74138,74152) = 2748740488

Least Common Multiple (LCM) of 74138 and 74152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74138 and 74152. First we will calculate the prime factors of 74138 and 74152.

Prime Factorization of 74138

Prime Factorization of 74152

Now multiplying the highest exponent prime factors to calculate the LCM of 74138 and 74152.

LCM(74138,74152) = 2³ × 19¹ × 1951¹ × 13¹ × 23¹ × 31¹
LCM(74138,74152) = 2748740488