What is the Least Common Multiple of 81249 and 81267?

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 81249 and 81267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81249 and 81267, than apply into the LCM equation.

GCF(81249,81267) = 3
LCM(81249,81267) = ( 81249 × 81267) / 3
LCM(81249,81267) = 6602862483 / 3
LCM(81249,81267) = 2200954161

Least Common Multiple (LCM) of 81249 and 81267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81249 and 81267. First we will calculate the prime factors of 81249 and 81267.

Prime Factorization of 81249

Prime Factorization of 81267

Now multiplying the highest exponent prime factors to calculate the LCM of 81249 and 81267.

LCM(81249,81267) = 3¹ × 7¹ × 53¹ × 73¹ × 103¹ × 263¹
LCM(81249,81267) = 2200954161