What is the Least Common Multiple of 80115 and 80124?

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 80115 and 80124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80115 and 80124, than apply into the LCM equation.

GCF(80115,80124) = 3
LCM(80115,80124) = ( 80115 × 80124) / 3
LCM(80115,80124) = 6419134260 / 3
LCM(80115,80124) = 2139711420

Least Common Multiple (LCM) of 80115 and 80124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80115 and 80124. First we will calculate the prime factors of 80115 and 80124.

Prime Factorization of 80115

Prime Factorization of 80124

Now multiplying the highest exponent prime factors to calculate the LCM of 80115 and 80124.

LCM(80115,80124) = 3¹ × 5¹ × 7² × 109¹ × 2² × 11¹ × 607¹
LCM(80115,80124) = 2139711420