What is the Least Common Multiple of 63231 and 63247?

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 63231 and 63247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63231 and 63247, than apply into the LCM equation.

GCF(63231,63247) = 1
LCM(63231,63247) = ( 63231 × 63247) / 1
LCM(63231,63247) = 3999171057 / 1
LCM(63231,63247) = 3999171057

Least Common Multiple (LCM) of 63231 and 63247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63231 and 63247. First we will calculate the prime factors of 63231 and 63247.

Prime Factorization of 63231

Prime Factorization of 63247

Now multiplying the highest exponent prime factors to calculate the LCM of 63231 and 63247.

LCM(63231,63247) = 3¹ × 7¹ × 3011¹ × 63247¹
LCM(63231,63247) = 3999171057