What is the Least Common Multiple of 36240 and 36249?

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 36240 and 36249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36240 and 36249, than apply into the LCM equation.

GCF(36240,36249) = 3
LCM(36240,36249) = ( 36240 × 36249) / 3
LCM(36240,36249) = 1313663760 / 3
LCM(36240,36249) = 437887920

Least Common Multiple (LCM) of 36240 and 36249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36240 and 36249. First we will calculate the prime factors of 36240 and 36249.

Prime Factorization of 36240

Prime Factorization of 36249

Now multiplying the highest exponent prime factors to calculate the LCM of 36240 and 36249.

LCM(36240,36249) = 2⁴ × 3¹ × 5¹ × 151¹ × 43¹ × 281¹
LCM(36240,36249) = 437887920