What is the Least Common Multiple of 22723 and 22732?

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 22723 and 22732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22723 and 22732, than apply into the LCM equation.

GCF(22723,22732) = 1
LCM(22723,22732) = ( 22723 × 22732) / 1
LCM(22723,22732) = 516539236 / 1
LCM(22723,22732) = 516539236

Least Common Multiple (LCM) of 22723 and 22732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22723 and 22732. First we will calculate the prime factors of 22723 and 22732.

Prime Factorization of 22723

Prime Factorization of 22732

Now multiplying the highest exponent prime factors to calculate the LCM of 22723 and 22732.

LCM(22723,22732) = 31¹ × 733¹ × 2² × 5683¹
LCM(22723,22732) = 516539236