What is the Least Common Multiple of 80544 and 80562?

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 80544 and 80562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80544 and 80562, than apply into the LCM equation.

GCF(80544,80562) = 6
LCM(80544,80562) = ( 80544 × 80562) / 6
LCM(80544,80562) = 6488785728 / 6
LCM(80544,80562) = 1081464288

Least Common Multiple (LCM) of 80544 and 80562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80544 and 80562. First we will calculate the prime factors of 80544 and 80562.

Prime Factorization of 80544

Prime Factorization of 80562

Now multiplying the highest exponent prime factors to calculate the LCM of 80544 and 80562.

LCM(80544,80562) = 2⁵ × 3¹ × 839¹ × 29¹ × 463¹
LCM(80544,80562) = 1081464288