What is the Least Common Multiple of 18765 and 18772?

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 18765 and 18772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18765 and 18772, than apply into the LCM equation.

GCF(18765,18772) = 1
LCM(18765,18772) = ( 18765 × 18772) / 1
LCM(18765,18772) = 352256580 / 1
LCM(18765,18772) = 352256580

Least Common Multiple (LCM) of 18765 and 18772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18765 and 18772. First we will calculate the prime factors of 18765 and 18772.

Prime Factorization of 18765

Prime Factorization of 18772

Now multiplying the highest exponent prime factors to calculate the LCM of 18765 and 18772.

LCM(18765,18772) = 3³ × 5¹ × 139¹ × 2² × 13¹ × 19²
LCM(18765,18772) = 352256580