What is the Least Common Multiple of 8463 and 8476?

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 8463 and 8476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8463 and 8476, than apply into the LCM equation.

GCF(8463,8476) = 13
LCM(8463,8476) = ( 8463 × 8476) / 13
LCM(8463,8476) = 71732388 / 13
LCM(8463,8476) = 5517876

Least Common Multiple (LCM) of 8463 and 8476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8463 and 8476. First we will calculate the prime factors of 8463 and 8476.

Prime Factorization of 8463

Prime Factorization of 8476

Now multiplying the highest exponent prime factors to calculate the LCM of 8463 and 8476.

LCM(8463,8476) = 3¹ × 7¹ × 13¹ × 31¹ × 2² × 163¹
LCM(8463,8476) = 5517876