What is the Least Common Multiple of 79316 and 79326?

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 79316 and 79326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79316 and 79326, than apply into the LCM equation.

GCF(79316,79326) = 2
LCM(79316,79326) = ( 79316 × 79326) / 2
LCM(79316,79326) = 6291821016 / 2
LCM(79316,79326) = 3145910508

Least Common Multiple (LCM) of 79316 and 79326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79316 and 79326. First we will calculate the prime factors of 79316 and 79326.

Prime Factorization of 79316

Prime Factorization of 79326

Now multiplying the highest exponent prime factors to calculate the LCM of 79316 and 79326.

LCM(79316,79326) = 2² × 79¹ × 251¹ × 3³ × 13¹ × 113¹
LCM(79316,79326) = 3145910508