What is the Least Common Multiple of 23061 and 23080?

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 23080 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 23080, than apply into the LCM equation.

GCF(23061,23080) = 1
LCM(23061,23080) = ( 23061 × 23080) / 1
LCM(23061,23080) = 532247880 / 1
LCM(23061,23080) = 532247880

Least Common Multiple (LCM) of 23061 and 23080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23061 and 23080. First we will calculate the prime factors of 23061 and 23080.

Prime Factorization of 23061

Prime Factorization of 23080

Now multiplying the highest exponent prime factors to calculate the LCM of 23061 and 23080.

LCM(23061,23080) = 3¹ × 7687¹ × 2³ × 5¹ × 577¹
LCM(23061,23080) = 532247880