What is the Least Common Multiple of 22743 and 22761?

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 22743 and 22761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22743 and 22761, than apply into the LCM equation.

GCF(22743,22761) = 9
LCM(22743,22761) = ( 22743 × 22761) / 9
LCM(22743,22761) = 517653423 / 9
LCM(22743,22761) = 57517047

Least Common Multiple (LCM) of 22743 and 22761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22743 and 22761. First we will calculate the prime factors of 22743 and 22761.

Prime Factorization of 22743

Prime Factorization of 22761

Now multiplying the highest exponent prime factors to calculate the LCM of 22743 and 22761.

LCM(22743,22761) = 3⁴ × 7¹ × 19² × 281¹
LCM(22743,22761) = 57517047