What is the Least Common Multiple of 69234 and 69249?

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 69234 and 69249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69234 and 69249, than apply into the LCM equation.

GCF(69234,69249) = 3
LCM(69234,69249) = ( 69234 × 69249) / 3
LCM(69234,69249) = 4794385266 / 3
LCM(69234,69249) = 1598128422

Least Common Multiple (LCM) of 69234 and 69249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69234 and 69249. First we will calculate the prime factors of 69234 and 69249.

Prime Factorization of 69234

Prime Factorization of 69249

Now multiplying the highest exponent prime factors to calculate the LCM of 69234 and 69249.

LCM(69234,69249) = 2¹ × 3¹ × 11¹ × 1049¹ × 41¹ × 563¹
LCM(69234,69249) = 1598128422