What is the Least Common Multiple of 73180 and 73198?

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 73180 and 73198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73180 and 73198, than apply into the LCM equation.

GCF(73180,73198) = 2
LCM(73180,73198) = ( 73180 × 73198) / 2
LCM(73180,73198) = 5356629640 / 2
LCM(73180,73198) = 2678314820

Least Common Multiple (LCM) of 73180 and 73198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73180 and 73198. First we will calculate the prime factors of 73180 and 73198.

Prime Factorization of 73180

Prime Factorization of 73198

Now multiplying the highest exponent prime factors to calculate the LCM of 73180 and 73198.

LCM(73180,73198) = 2² × 5¹ × 3659¹ × 36599¹
LCM(73180,73198) = 2678314820