What is the Least Common Multiple of 71825 and 71838?

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 71825 and 71838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71825 and 71838, than apply into the LCM equation.

GCF(71825,71838) = 13
LCM(71825,71838) = ( 71825 × 71838) / 13
LCM(71825,71838) = 5159764350 / 13
LCM(71825,71838) = 396904950

Least Common Multiple (LCM) of 71825 and 71838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71825 and 71838. First we will calculate the prime factors of 71825 and 71838.

Prime Factorization of 71825

Prime Factorization of 71838

Now multiplying the highest exponent prime factors to calculate the LCM of 71825 and 71838.

LCM(71825,71838) = 5² × 13² × 17¹ × 2¹ × 3² × 307¹
LCM(71825,71838) = 396904950