What is the Least Common Multiple of 59024 and 59038?

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 59024 and 59038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59024 and 59038, than apply into the LCM equation.

GCF(59024,59038) = 14
LCM(59024,59038) = ( 59024 × 59038) / 14
LCM(59024,59038) = 3484658912 / 14
LCM(59024,59038) = 248904208

Least Common Multiple (LCM) of 59024 and 59038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59024 and 59038. First we will calculate the prime factors of 59024 and 59038.

Prime Factorization of 59024

Prime Factorization of 59038

Now multiplying the highest exponent prime factors to calculate the LCM of 59024 and 59038.

LCM(59024,59038) = 2⁴ × 7¹ × 17¹ × 31¹ × 4217¹
LCM(59024,59038) = 248904208