What is the Least Common Multiple of 58704 and 58719?

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 58704 and 58719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58704 and 58719, than apply into the LCM equation.

GCF(58704,58719) = 3
LCM(58704,58719) = ( 58704 × 58719) / 3
LCM(58704,58719) = 3447040176 / 3
LCM(58704,58719) = 1149013392

Least Common Multiple (LCM) of 58704 and 58719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58704 and 58719. First we will calculate the prime factors of 58704 and 58719.

Prime Factorization of 58704

Prime Factorization of 58719

Now multiplying the highest exponent prime factors to calculate the LCM of 58704 and 58719.

LCM(58704,58719) = 2⁴ × 3¹ × 1223¹ × 23² × 37¹
LCM(58704,58719) = 1149013392