What is the Least Common Multiple of 5232 and 5247?

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 5232 and 5247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5232 and 5247, than apply into the LCM equation.

GCF(5232,5247) = 3
LCM(5232,5247) = ( 5232 × 5247) / 3
LCM(5232,5247) = 27452304 / 3
LCM(5232,5247) = 9150768

Least Common Multiple (LCM) of 5232 and 5247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5232 and 5247. First we will calculate the prime factors of 5232 and 5247.

Prime Factorization of 5232

Prime Factorization of 5247

Now multiplying the highest exponent prime factors to calculate the LCM of 5232 and 5247.

LCM(5232,5247) = 2⁴ × 3² × 109¹ × 11¹ × 53¹
LCM(5232,5247) = 9150768