What is the Least Common Multiple of 82249 and 82260?

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 82249 and 82260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82249 and 82260, than apply into the LCM equation.

GCF(82249,82260) = 1
LCM(82249,82260) = ( 82249 × 82260) / 1
LCM(82249,82260) = 6765802740 / 1
LCM(82249,82260) = 6765802740

Least Common Multiple (LCM) of 82249 and 82260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82249 and 82260. First we will calculate the prime factors of 82249 and 82260.

Prime Factorization of 82249

Prime Factorization of 82260

Now multiplying the highest exponent prime factors to calculate the LCM of 82249 and 82260.

LCM(82249,82260) = 233¹ × 353¹ × 2² × 3² × 5¹ × 457¹
LCM(82249,82260) = 6765802740