What is the Least Common Multiple of 89232 and 89249?

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 89232 and 89249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89232 and 89249, than apply into the LCM equation.

GCF(89232,89249) = 1
LCM(89232,89249) = ( 89232 × 89249) / 1
LCM(89232,89249) = 7963866768 / 1
LCM(89232,89249) = 7963866768

Least Common Multiple (LCM) of 89232 and 89249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89232 and 89249. First we will calculate the prime factors of 89232 and 89249.

Prime Factorization of 89232

Prime Factorization of 89249

Now multiplying the highest exponent prime factors to calculate the LCM of 89232 and 89249.

LCM(89232,89249) = 2⁴ × 3¹ × 11¹ × 13² × 31¹ × 2879¹
LCM(89232,89249) = 7963866768