What is the Least Common Multiple of 79216 and 79226?

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 79216 and 79226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79216 and 79226, than apply into the LCM equation.

GCF(79216,79226) = 2
LCM(79216,79226) = ( 79216 × 79226) / 2
LCM(79216,79226) = 6275966816 / 2
LCM(79216,79226) = 3137983408

Least Common Multiple (LCM) of 79216 and 79226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79216 and 79226. First we will calculate the prime factors of 79216 and 79226.

Prime Factorization of 79216

Prime Factorization of 79226

Now multiplying the highest exponent prime factors to calculate the LCM of 79216 and 79226.

LCM(79216,79226) = 2⁴ × 4951¹ × 7¹ × 5659¹
LCM(79216,79226) = 3137983408