What is the Least Common Multiple of 59269 and 59287?

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 59269 and 59287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59269 and 59287, than apply into the LCM equation.

GCF(59269,59287) = 1
LCM(59269,59287) = ( 59269 × 59287) / 1
LCM(59269,59287) = 3513881203 / 1
LCM(59269,59287) = 3513881203

Least Common Multiple (LCM) of 59269 and 59287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59269 and 59287. First we will calculate the prime factors of 59269 and 59287.

Prime Factorization of 59269

Prime Factorization of 59287

Now multiplying the highest exponent prime factors to calculate the LCM of 59269 and 59287.

LCM(59269,59287) = 7¹ × 8467¹ × 101¹ × 587¹
LCM(59269,59287) = 3513881203