What is the Least Common Multiple of 69249 and 69267?

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 69249 and 69267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69249 and 69267, than apply into the LCM equation.

GCF(69249,69267) = 3
LCM(69249,69267) = ( 69249 × 69267) / 3
LCM(69249,69267) = 4796670483 / 3
LCM(69249,69267) = 1598890161

Least Common Multiple (LCM) of 69249 and 69267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69249 and 69267. First we will calculate the prime factors of 69249 and 69267.

Prime Factorization of 69249

Prime Factorization of 69267

Now multiplying the highest exponent prime factors to calculate the LCM of 69249 and 69267.

LCM(69249,69267) = 3¹ × 41¹ × 563¹ × 11¹ × 2099¹
LCM(69249,69267) = 1598890161