What is the Least Common Multiple of 79226 and 79231?

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 79226 and 79231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79226 and 79231, than apply into the LCM equation.

GCF(79226,79231) = 1
LCM(79226,79231) = ( 79226 × 79231) / 1
LCM(79226,79231) = 6277155206 / 1
LCM(79226,79231) = 6277155206

Least Common Multiple (LCM) of 79226 and 79231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79226 and 79231. First we will calculate the prime factors of 79226 and 79231.

Prime Factorization of 79226

Prime Factorization of 79231

Now multiplying the highest exponent prime factors to calculate the LCM of 79226 and 79231.

LCM(79226,79231) = 2¹ × 7¹ × 5659¹ × 79231¹
LCM(79226,79231) = 6277155206