What is the Least Common Multiple of 71796 and 71811?

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 71796 and 71811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71796 and 71811, than apply into the LCM equation.

GCF(71796,71811) = 3
LCM(71796,71811) = ( 71796 × 71811) / 3
LCM(71796,71811) = 5155742556 / 3
LCM(71796,71811) = 1718580852

Least Common Multiple (LCM) of 71796 and 71811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71796 and 71811. First we will calculate the prime factors of 71796 and 71811.

Prime Factorization of 71796

Prime Factorization of 71811

Now multiplying the highest exponent prime factors to calculate the LCM of 71796 and 71811.

LCM(71796,71811) = 2² × 3² × 31¹ × 193¹ × 79¹ × 101¹
LCM(71796,71811) = 1718580852