What is the Least Common Multiple of 23232 and 23247?

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 23232 and 23247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23232 and 23247, than apply into the LCM equation.

GCF(23232,23247) = 3
LCM(23232,23247) = ( 23232 × 23247) / 3
LCM(23232,23247) = 540074304 / 3
LCM(23232,23247) = 180024768

Least Common Multiple (LCM) of 23232 and 23247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23232 and 23247. First we will calculate the prime factors of 23232 and 23247.

Prime Factorization of 23232

Prime Factorization of 23247

Now multiplying the highest exponent prime factors to calculate the LCM of 23232 and 23247.

LCM(23232,23247) = 2⁶ × 3⁴ × 11² × 7¹ × 41¹
LCM(23232,23247) = 180024768