What is the Least Common Multiple of 74589 and 74598?

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 74589 and 74598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74589 and 74598, than apply into the LCM equation.

GCF(74589,74598) = 3
LCM(74589,74598) = ( 74589 × 74598) / 3
LCM(74589,74598) = 5564190222 / 3
LCM(74589,74598) = 1854730074

Least Common Multiple (LCM) of 74589 and 74598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74589 and 74598. First we will calculate the prime factors of 74589 and 74598.

Prime Factorization of 74589

Prime Factorization of 74598

Now multiplying the highest exponent prime factors to calculate the LCM of 74589 and 74598.

LCM(74589,74598) = 3¹ × 23² × 47¹ × 2¹ × 12433¹
LCM(74589,74598) = 1854730074