What is the Least Common Multiple of 73206 and 73213?

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 73206 and 73213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73206 and 73213, than apply into the LCM equation.

GCF(73206,73213) = 7
LCM(73206,73213) = ( 73206 × 73213) / 7
LCM(73206,73213) = 5359630878 / 7
LCM(73206,73213) = 765661554

Least Common Multiple (LCM) of 73206 and 73213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73206 and 73213. First we will calculate the prime factors of 73206 and 73213.

Prime Factorization of 73206

Prime Factorization of 73213

Now multiplying the highest exponent prime factors to calculate the LCM of 73206 and 73213.

LCM(73206,73213) = 2¹ × 3² × 7² × 83¹ × 10459¹
LCM(73206,73213) = 765661554