What is the Least Common Multiple of 63258 and 63268?

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 63258 and 63268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63258 and 63268, than apply into the LCM equation.

GCF(63258,63268) = 2
LCM(63258,63268) = ( 63258 × 63268) / 2
LCM(63258,63268) = 4002207144 / 2
LCM(63258,63268) = 2001103572

Least Common Multiple (LCM) of 63258 and 63268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63258 and 63268. First we will calculate the prime factors of 63258 and 63268.

Prime Factorization of 63258

Prime Factorization of 63268

Now multiplying the highest exponent prime factors to calculate the LCM of 63258 and 63268.

LCM(63258,63268) = 2² × 3¹ × 13¹ × 811¹ × 15817¹
LCM(63258,63268) = 2001103572