What is the Least Common Multiple of 63253 and 63271?

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 63253 and 63271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63253 and 63271, than apply into the LCM equation.

GCF(63253,63271) = 1
LCM(63253,63271) = ( 63253 × 63271) / 1
LCM(63253,63271) = 4002080563 / 1
LCM(63253,63271) = 4002080563

Least Common Multiple (LCM) of 63253 and 63271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63253 and 63271. First we will calculate the prime factors of 63253 and 63271.

Prime Factorization of 63253

Prime Factorization of 63271

Now multiplying the highest exponent prime factors to calculate the LCM of 63253 and 63271.

LCM(63253,63271) = 43¹ × 1471¹ × 13¹ × 31¹ × 157¹
LCM(63253,63271) = 4002080563