What is the Least Common Multiple of 23664 and 23674?

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 23664 and 23674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23664 and 23674, than apply into the LCM equation.

GCF(23664,23674) = 2
LCM(23664,23674) = ( 23664 × 23674) / 2
LCM(23664,23674) = 560221536 / 2
LCM(23664,23674) = 280110768

Least Common Multiple (LCM) of 23664 and 23674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23664 and 23674. First we will calculate the prime factors of 23664 and 23674.

Prime Factorization of 23664

Prime Factorization of 23674

Now multiplying the highest exponent prime factors to calculate the LCM of 23664 and 23674.

LCM(23664,23674) = 2⁴ × 3¹ × 17¹ × 29¹ × 7¹ × 19¹ × 89¹
LCM(23664,23674) = 280110768