What is the Least Common Multiple of 8464 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 8464 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 8464 and 8476, than apply into the LCM equation.

GCF(8464,8476) = 4
LCM(8464,8476) = ( 8464 × 8476) / 4
LCM(8464,8476) = 71740864 / 4
LCM(8464,8476) = 17935216

Least Common Multiple (LCM) of 8464 and 8476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8464 and 8476. First we will calculate the prime factors of 8464 and 8476.

Prime Factorization of 8464

Prime Factorization of 8476

Now multiplying the highest exponent prime factors to calculate the LCM of 8464 and 8476.

LCM(8464,8476) = 2⁴ × 23² × 13¹ × 163¹
LCM(8464,8476) = 17935216