What is the Least Common Multiple of 80661 and 80673?

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 80661 and 80673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80661 and 80673, than apply into the LCM equation.

GCF(80661,80673) = 3
LCM(80661,80673) = ( 80661 × 80673) / 3
LCM(80661,80673) = 6507164853 / 3
LCM(80661,80673) = 2169054951

Least Common Multiple (LCM) of 80661 and 80673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80661 and 80673. First we will calculate the prime factors of 80661 and 80673.

Prime Factorization of 80661

Prime Factorization of 80673

Now multiplying the highest exponent prime factors to calculate the LCM of 80661 and 80673.

LCM(80661,80673) = 3¹ × 7¹ × 23¹ × 167¹ × 26891¹
LCM(80661,80673) = 2169054951