What is the Least Common Multiple of 80935 and 80940?

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 80935 and 80940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80935 and 80940, than apply into the LCM equation.

GCF(80935,80940) = 5
LCM(80935,80940) = ( 80935 × 80940) / 5
LCM(80935,80940) = 6550878900 / 5
LCM(80935,80940) = 1310175780

Least Common Multiple (LCM) of 80935 and 80940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80935 and 80940. First we will calculate the prime factors of 80935 and 80940.

Prime Factorization of 80935

Prime Factorization of 80940

Now multiplying the highest exponent prime factors to calculate the LCM of 80935 and 80940.

LCM(80935,80940) = 5¹ × 16187¹ × 2² × 3¹ × 19¹ × 71¹
LCM(80935,80940) = 1310175780