What is the Least Common Multiple of 59232 and 59249?

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 59232 and 59249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59232 and 59249, than apply into the LCM equation.

GCF(59232,59249) = 1
LCM(59232,59249) = ( 59232 × 59249) / 1
LCM(59232,59249) = 3509436768 / 1
LCM(59232,59249) = 3509436768

Least Common Multiple (LCM) of 59232 and 59249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59232 and 59249. First we will calculate the prime factors of 59232 and 59249.

Prime Factorization of 59232

Prime Factorization of 59249

Now multiplying the highest exponent prime factors to calculate the LCM of 59232 and 59249.

LCM(59232,59249) = 2⁵ × 3¹ × 617¹ × 179¹ × 331¹
LCM(59232,59249) = 3509436768