What is the Least Common Multiple of 10791 and 10802?

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 10791 and 10802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10791 and 10802, than apply into the LCM equation.

GCF(10791,10802) = 11
LCM(10791,10802) = ( 10791 × 10802) / 11
LCM(10791,10802) = 116564382 / 11
LCM(10791,10802) = 10596762

Least Common Multiple (LCM) of 10791 and 10802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10791 and 10802. First we will calculate the prime factors of 10791 and 10802.

Prime Factorization of 10791

Prime Factorization of 10802

Now multiplying the highest exponent prime factors to calculate the LCM of 10791 and 10802.

LCM(10791,10802) = 3² × 11¹ × 109¹ × 2¹ × 491¹
LCM(10791,10802) = 10596762