What is the Least Common Multiple of 43232 and 43249?

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 43232 and 43249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43232 and 43249, than apply into the LCM equation.

GCF(43232,43249) = 1
LCM(43232,43249) = ( 43232 × 43249) / 1
LCM(43232,43249) = 1869740768 / 1
LCM(43232,43249) = 1869740768

Least Common Multiple (LCM) of 43232 and 43249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43232 and 43249. First we will calculate the prime factors of 43232 and 43249.

Prime Factorization of 43232

Prime Factorization of 43249

Now multiplying the highest exponent prime factors to calculate the LCM of 43232 and 43249.

LCM(43232,43249) = 2⁵ × 7¹ × 193¹ × 61¹ × 709¹
LCM(43232,43249) = 1869740768