What is the Least Common Multiple of 23530 and 23546?

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 23530 and 23546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23530 and 23546, than apply into the LCM equation.

GCF(23530,23546) = 2
LCM(23530,23546) = ( 23530 × 23546) / 2
LCM(23530,23546) = 554037380 / 2
LCM(23530,23546) = 277018690

Least Common Multiple (LCM) of 23530 and 23546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23530 and 23546. First we will calculate the prime factors of 23530 and 23546.

Prime Factorization of 23530

Prime Factorization of 23546

Now multiplying the highest exponent prime factors to calculate the LCM of 23530 and 23546.

LCM(23530,23546) = 2¹ × 5¹ × 13¹ × 181¹ × 61¹ × 193¹
LCM(23530,23546) = 277018690