What is the Least Common Multiple of 74790 and 74798?

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 74790 and 74798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74790 and 74798, than apply into the LCM equation.

GCF(74790,74798) = 2
LCM(74790,74798) = ( 74790 × 74798) / 2
LCM(74790,74798) = 5594142420 / 2
LCM(74790,74798) = 2797071210

Least Common Multiple (LCM) of 74790 and 74798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74790 and 74798. First we will calculate the prime factors of 74790 and 74798.

Prime Factorization of 74790

Prime Factorization of 74798

Now multiplying the highest exponent prime factors to calculate the LCM of 74790 and 74798.

LCM(74790,74798) = 2¹ × 3³ × 5¹ × 277¹ × 149¹ × 251¹
LCM(74790,74798) = 2797071210