What is the Least Common Multiple of 93240 and 93249?

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 93240 and 93249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93240 and 93249, than apply into the LCM equation.

GCF(93240,93249) = 9
LCM(93240,93249) = ( 93240 × 93249) / 9
LCM(93240,93249) = 8694536760 / 9
LCM(93240,93249) = 966059640

Least Common Multiple (LCM) of 93240 and 93249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93240 and 93249. First we will calculate the prime factors of 93240 and 93249.

Prime Factorization of 93240

Prime Factorization of 93249

Now multiplying the highest exponent prime factors to calculate the LCM of 93240 and 93249.

LCM(93240,93249) = 2³ × 3² × 5¹ × 7¹ × 37¹ × 13¹ × 797¹
LCM(93240,93249) = 966059640