What is the Least Common Multiple of 80178 and 80198?

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 80198 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 80198, than apply into the LCM equation.

GCF(80178,80198) = 2
LCM(80178,80198) = ( 80178 × 80198) / 2
LCM(80178,80198) = 6430115244 / 2
LCM(80178,80198) = 3215057622

Least Common Multiple (LCM) of 80178 and 80198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80178 and 80198. First we will calculate the prime factors of 80178 and 80198.

Prime Factorization of 80178

Prime Factorization of 80198

Now multiplying the highest exponent prime factors to calculate the LCM of 80178 and 80198.

LCM(80178,80198) = 2¹ × 3¹ × 7¹ × 23¹ × 83¹ × 40099¹
LCM(80178,80198) = 3215057622