What is the Least Common Multiple of 80657 and 80668?

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 80657 and 80668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80657 and 80668, than apply into the LCM equation.

GCF(80657,80668) = 1
LCM(80657,80668) = ( 80657 × 80668) / 1
LCM(80657,80668) = 6506438876 / 1
LCM(80657,80668) = 6506438876

Least Common Multiple (LCM) of 80657 and 80668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80657 and 80668. First we will calculate the prime factors of 80657 and 80668.

Prime Factorization of 80657

Prime Factorization of 80668

Now multiplying the highest exponent prime factors to calculate the LCM of 80657 and 80668.

LCM(80657,80668) = 80657¹ × 2² × 7¹ × 43¹ × 67¹
LCM(80657,80668) = 6506438876