What is the Least Common Multiple of 79806 and 79826?

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 79806 and 79826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79806 and 79826, than apply into the LCM equation.

GCF(79806,79826) = 2
LCM(79806,79826) = ( 79806 × 79826) / 2
LCM(79806,79826) = 6370593756 / 2
LCM(79806,79826) = 3185296878

Least Common Multiple (LCM) of 79806 and 79826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79806 and 79826. First we will calculate the prime factors of 79806 and 79826.

Prime Factorization of 79806

Prime Factorization of 79826

Now multiplying the highest exponent prime factors to calculate the LCM of 79806 and 79826.

LCM(79806,79826) = 2¹ × 3¹ × 47¹ × 283¹ × 167¹ × 239¹
LCM(79806,79826) = 3185296878