What is the Least Common Multiple of 79796 and 79806?

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 79796 and 79806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79796 and 79806, than apply into the LCM equation.

GCF(79796,79806) = 2
LCM(79796,79806) = ( 79796 × 79806) / 2
LCM(79796,79806) = 6368199576 / 2
LCM(79796,79806) = 3184099788

Least Common Multiple (LCM) of 79796 and 79806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79796 and 79806. First we will calculate the prime factors of 79796 and 79806.

Prime Factorization of 79796

Prime Factorization of 79806

Now multiplying the highest exponent prime factors to calculate the LCM of 79796 and 79806.

LCM(79796,79806) = 2² × 19949¹ × 3¹ × 47¹ × 283¹
LCM(79796,79806) = 3184099788