What is the Least Common Multiple of 23670 and 23677?

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 23670 and 23677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23670 and 23677, than apply into the LCM equation.

GCF(23670,23677) = 1
LCM(23670,23677) = ( 23670 × 23677) / 1
LCM(23670,23677) = 560434590 / 1
LCM(23670,23677) = 560434590

Least Common Multiple (LCM) of 23670 and 23677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23670 and 23677. First we will calculate the prime factors of 23670 and 23677.

Prime Factorization of 23670

Prime Factorization of 23677

Now multiplying the highest exponent prime factors to calculate the LCM of 23670 and 23677.

LCM(23670,23677) = 2¹ × 3² × 5¹ × 263¹ × 23677¹
LCM(23670,23677) = 560434590