What is the Least Common Multiple of 73197 and 73203?

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 73197 and 73203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73197 and 73203, than apply into the LCM equation.

GCF(73197,73203) = 3
LCM(73197,73203) = ( 73197 × 73203) / 3
LCM(73197,73203) = 5358239991 / 3
LCM(73197,73203) = 1786079997

Least Common Multiple (LCM) of 73197 and 73203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73197 and 73203. First we will calculate the prime factors of 73197 and 73203.

Prime Factorization of 73197

Prime Factorization of 73203

Now multiplying the highest exponent prime factors to calculate the LCM of 73197 and 73203.

LCM(73197,73203) = 3³ × 2711¹ × 13¹ × 1877¹
LCM(73197,73203) = 1786079997