What is the Least Common Multiple of 74589 and 74603?

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 74603 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 74603, than apply into the LCM equation.

GCF(74589,74603) = 1
LCM(74589,74603) = ( 74589 × 74603) / 1
LCM(74589,74603) = 5564563167 / 1
LCM(74589,74603) = 5564563167

Least Common Multiple (LCM) of 74589 and 74603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74589 and 74603. First we will calculate the prime factors of 74589 and 74603.

Prime Factorization of 74589

Prime Factorization of 74603

Now multiplying the highest exponent prime factors to calculate the LCM of 74589 and 74603.

LCM(74589,74603) = 3¹ × 23² × 47¹ × 61¹ × 1223¹
LCM(74589,74603) = 5564563167