What is the Least Common Multiple of 60258 and 60263?

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 60258 and 60263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60258 and 60263, than apply into the LCM equation.

GCF(60258,60263) = 1
LCM(60258,60263) = ( 60258 × 60263) / 1
LCM(60258,60263) = 3631327854 / 1
LCM(60258,60263) = 3631327854

Least Common Multiple (LCM) of 60258 and 60263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60258 and 60263. First we will calculate the prime factors of 60258 and 60263.

Prime Factorization of 60258

Prime Factorization of 60263

Now multiplying the highest exponent prime factors to calculate the LCM of 60258 and 60263.

LCM(60258,60263) = 2¹ × 3¹ × 11² × 83¹ × 7¹ × 8609¹
LCM(60258,60263) = 3631327854