What is the Least Common Multiple of 80178 and 80193?

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 80178 and 80193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80178 and 80193, than apply into the LCM equation.

GCF(80178,80193) = 3
LCM(80178,80193) = ( 80178 × 80193) / 3
LCM(80178,80193) = 6429714354 / 3
LCM(80178,80193) = 2143238118

Least Common Multiple (LCM) of 80178 and 80193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80178 and 80193. First we will calculate the prime factors of 80178 and 80193.

Prime Factorization of 80178

Prime Factorization of 80193

Now multiplying the highest exponent prime factors to calculate the LCM of 80178 and 80193.

LCM(80178,80193) = 2¹ × 3¹ × 7¹ × 23¹ × 83¹ × 26731¹
LCM(80178,80193) = 2143238118