What is the Least Common Multiple of 23538 and 23555?

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 23538 and 23555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23538 and 23555, than apply into the LCM equation.

GCF(23538,23555) = 1
LCM(23538,23555) = ( 23538 × 23555) / 1
LCM(23538,23555) = 554437590 / 1
LCM(23538,23555) = 554437590

Least Common Multiple (LCM) of 23538 and 23555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23538 and 23555. First we will calculate the prime factors of 23538 and 23555.

Prime Factorization of 23538

Prime Factorization of 23555

Now multiplying the highest exponent prime factors to calculate the LCM of 23538 and 23555.

LCM(23538,23555) = 2¹ × 3¹ × 3923¹ × 5¹ × 7¹ × 673¹
LCM(23538,23555) = 554437590