What is the Least Common Multiple of 73800 and 73814?

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 73800 and 73814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73800 and 73814, than apply into the LCM equation.

GCF(73800,73814) = 2
LCM(73800,73814) = ( 73800 × 73814) / 2
LCM(73800,73814) = 5447473200 / 2
LCM(73800,73814) = 2723736600

Least Common Multiple (LCM) of 73800 and 73814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73800 and 73814. First we will calculate the prime factors of 73800 and 73814.

Prime Factorization of 73800

Prime Factorization of 73814

Now multiplying the highest exponent prime factors to calculate the LCM of 73800 and 73814.

LCM(73800,73814) = 2³ × 3² × 5² × 41¹ × 13¹ × 17¹ × 167¹
LCM(73800,73814) = 2723736600