What is the Least Common Multiple of 23061 and 23073?

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 23061 and 23073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23061 and 23073, than apply into the LCM equation.

GCF(23061,23073) = 3
LCM(23061,23073) = ( 23061 × 23073) / 3
LCM(23061,23073) = 532086453 / 3
LCM(23061,23073) = 177362151

Least Common Multiple (LCM) of 23061 and 23073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23061 and 23073. First we will calculate the prime factors of 23061 and 23073.

Prime Factorization of 23061

Prime Factorization of 23073

Now multiplying the highest exponent prime factors to calculate the LCM of 23061 and 23073.

LCM(23061,23073) = 3¹ × 7687¹ × 7691¹
LCM(23061,23073) = 177362151