What is the Least Common Multiple of 80790 and 80799?

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 80790 and 80799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80790 and 80799, than apply into the LCM equation.

GCF(80790,80799) = 3
LCM(80790,80799) = ( 80790 × 80799) / 3
LCM(80790,80799) = 6527751210 / 3
LCM(80790,80799) = 2175917070

Least Common Multiple (LCM) of 80790 and 80799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80790 and 80799. First we will calculate the prime factors of 80790 and 80799.

Prime Factorization of 80790

Prime Factorization of 80799

Now multiplying the highest exponent prime factors to calculate the LCM of 80790 and 80799.

LCM(80790,80799) = 2¹ × 3¹ × 5¹ × 2693¹ × 23¹ × 1171¹
LCM(80790,80799) = 2175917070