What is the Least Common Multiple of 80640 and 80654?

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 80640 and 80654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80640 and 80654, than apply into the LCM equation.

GCF(80640,80654) = 14
LCM(80640,80654) = ( 80640 × 80654) / 14
LCM(80640,80654) = 6503938560 / 14
LCM(80640,80654) = 464567040

Least Common Multiple (LCM) of 80640 and 80654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80640 and 80654. First we will calculate the prime factors of 80640 and 80654.

Prime Factorization of 80640

Prime Factorization of 80654

Now multiplying the highest exponent prime factors to calculate the LCM of 80640 and 80654.

LCM(80640,80654) = 2⁸ × 3² × 5¹ × 7² × 823¹
LCM(80640,80654) = 464567040