What is the Least Common Multiple of 80754 and 80774?

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 80754 and 80774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80754 and 80774, than apply into the LCM equation.

GCF(80754,80774) = 2
LCM(80754,80774) = ( 80754 × 80774) / 2
LCM(80754,80774) = 6522823596 / 2
LCM(80754,80774) = 3261411798

Least Common Multiple (LCM) of 80754 and 80774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80754 and 80774. First we will calculate the prime factors of 80754 and 80774.

Prime Factorization of 80754

Prime Factorization of 80774

Now multiplying the highest exponent prime factors to calculate the LCM of 80754 and 80774.

LCM(80754,80774) = 2¹ × 3¹ × 43¹ × 313¹ × 40387¹
LCM(80754,80774) = 3261411798