What is the Least Common Multiple of 18472 and 18492?

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 18472 and 18492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18472 and 18492, than apply into the LCM equation.

GCF(18472,18492) = 4
LCM(18472,18492) = ( 18472 × 18492) / 4
LCM(18472,18492) = 341584224 / 4
LCM(18472,18492) = 85396056

Least Common Multiple (LCM) of 18472 and 18492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18472 and 18492. First we will calculate the prime factors of 18472 and 18492.

Prime Factorization of 18472

Prime Factorization of 18492

Now multiplying the highest exponent prime factors to calculate the LCM of 18472 and 18492.

LCM(18472,18492) = 2³ × 2309¹ × 3¹ × 23¹ × 67¹
LCM(18472,18492) = 85396056