What is the Least Common Multiple of 71800 and 71818?

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 71800 and 71818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71800 and 71818, than apply into the LCM equation.

GCF(71800,71818) = 2
LCM(71800,71818) = ( 71800 × 71818) / 2
LCM(71800,71818) = 5156532400 / 2
LCM(71800,71818) = 2578266200

Least Common Multiple (LCM) of 71800 and 71818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71800 and 71818. First we will calculate the prime factors of 71800 and 71818.

Prime Factorization of 71800

Prime Factorization of 71818

Now multiplying the highest exponent prime factors to calculate the LCM of 71800 and 71818.

LCM(71800,71818) = 2³ × 5² × 359¹ × 149¹ × 241¹
LCM(71800,71818) = 2578266200