What is the Least Common Multiple of 18320 and 18332?

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 18320 and 18332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18320 and 18332, than apply into the LCM equation.

GCF(18320,18332) = 4
LCM(18320,18332) = ( 18320 × 18332) / 4
LCM(18320,18332) = 335842240 / 4
LCM(18320,18332) = 83960560

Least Common Multiple (LCM) of 18320 and 18332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18320 and 18332. First we will calculate the prime factors of 18320 and 18332.

Prime Factorization of 18320

Prime Factorization of 18332

Now multiplying the highest exponent prime factors to calculate the LCM of 18320 and 18332.

LCM(18320,18332) = 2⁴ × 5¹ × 229¹ × 4583¹
LCM(18320,18332) = 83960560