What is the Least Common Multiple of 63257 and 63261?

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 63257 and 63261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63257 and 63261, than apply into the LCM equation.

GCF(63257,63261) = 1
LCM(63257,63261) = ( 63257 × 63261) / 1
LCM(63257,63261) = 4001701077 / 1
LCM(63257,63261) = 4001701077

Least Common Multiple (LCM) of 63257 and 63261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63257 and 63261. First we will calculate the prime factors of 63257 and 63261.

Prime Factorization of 63257

Prime Factorization of 63261

Now multiplying the highest exponent prime factors to calculate the LCM of 63257 and 63261.

LCM(63257,63261) = 17¹ × 61² × 3⁴ × 11¹ × 71¹
LCM(63257,63261) = 4001701077