What is the Least Common Multiple of 35796 and 35811?

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 35796 and 35811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35796 and 35811, than apply into the LCM equation.

GCF(35796,35811) = 3
LCM(35796,35811) = ( 35796 × 35811) / 3
LCM(35796,35811) = 1281890556 / 3
LCM(35796,35811) = 427296852

Least Common Multiple (LCM) of 35796 and 35811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35796 and 35811. First we will calculate the prime factors of 35796 and 35811.

Prime Factorization of 35796

Prime Factorization of 35811

Now multiplying the highest exponent prime factors to calculate the LCM of 35796 and 35811.

LCM(35796,35811) = 2² × 3² × 19¹ × 157¹ × 23¹ × 173¹
LCM(35796,35811) = 427296852