What is the Least Common Multiple of 60242 and 60256?

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 60242 and 60256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60242 and 60256, than apply into the LCM equation.

GCF(60242,60256) = 14
LCM(60242,60256) = ( 60242 × 60256) / 14
LCM(60242,60256) = 3629941952 / 14
LCM(60242,60256) = 259281568

Least Common Multiple (LCM) of 60242 and 60256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60242 and 60256. First we will calculate the prime factors of 60242 and 60256.

Prime Factorization of 60242

Prime Factorization of 60256

Now multiplying the highest exponent prime factors to calculate the LCM of 60242 and 60256.

LCM(60242,60256) = 2⁵ × 7¹ × 13¹ × 331¹ × 269¹
LCM(60242,60256) = 259281568