What is the Least Common Multiple of 8628 and 8643?

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 8628 and 8643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8628 and 8643, than apply into the LCM equation.

GCF(8628,8643) = 3
LCM(8628,8643) = ( 8628 × 8643) / 3
LCM(8628,8643) = 74571804 / 3
LCM(8628,8643) = 24857268

Least Common Multiple (LCM) of 8628 and 8643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8628 and 8643. First we will calculate the prime factors of 8628 and 8643.

Prime Factorization of 8628

Prime Factorization of 8643

Now multiplying the highest exponent prime factors to calculate the LCM of 8628 and 8643.

LCM(8628,8643) = 2² × 3¹ × 719¹ × 43¹ × 67¹
LCM(8628,8643) = 24857268