What is the Least Common Multiple of 23712 and 23719?

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 23712 and 23719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23712 and 23719, than apply into the LCM equation.

GCF(23712,23719) = 1
LCM(23712,23719) = ( 23712 × 23719) / 1
LCM(23712,23719) = 562424928 / 1
LCM(23712,23719) = 562424928

Least Common Multiple (LCM) of 23712 and 23719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23712 and 23719. First we will calculate the prime factors of 23712 and 23719.

Prime Factorization of 23712

Prime Factorization of 23719

Now multiplying the highest exponent prime factors to calculate the LCM of 23712 and 23719.

LCM(23712,23719) = 2⁵ × 3¹ × 13¹ × 19¹ × 23719¹
LCM(23712,23719) = 562424928