What is the Least Common Multiple of 79851 and 79866?

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 79851 and 79866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79851 and 79866, than apply into the LCM equation.

GCF(79851,79866) = 3
LCM(79851,79866) = ( 79851 × 79866) / 3
LCM(79851,79866) = 6377379966 / 3
LCM(79851,79866) = 2125793322

Least Common Multiple (LCM) of 79851 and 79866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79851 and 79866. First we will calculate the prime factors of 79851 and 79866.

Prime Factorization of 79851

Prime Factorization of 79866

Now multiplying the highest exponent prime factors to calculate the LCM of 79851 and 79866.

LCM(79851,79866) = 3⁴ × 43¹ × 619¹ × 2¹ × 17¹ × 29¹
LCM(79851,79866) = 2125793322