What is the Least Common Multiple of 80670 and 80688?

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 80670 and 80688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80670 and 80688, than apply into the LCM equation.

GCF(80670,80688) = 6
LCM(80670,80688) = ( 80670 × 80688) / 6
LCM(80670,80688) = 6509100960 / 6
LCM(80670,80688) = 1084850160

Least Common Multiple (LCM) of 80670 and 80688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80670 and 80688. First we will calculate the prime factors of 80670 and 80688.

Prime Factorization of 80670

Prime Factorization of 80688

Now multiplying the highest exponent prime factors to calculate the LCM of 80670 and 80688.

LCM(80670,80688) = 2⁴ × 3¹ × 5¹ × 2689¹ × 41²
LCM(80670,80688) = 1084850160