What is the Least Common Multiple of 84624 and 84643?

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 84624 and 84643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84624 and 84643, than apply into the LCM equation.

GCF(84624,84643) = 1
LCM(84624,84643) = ( 84624 × 84643) / 1
LCM(84624,84643) = 7162829232 / 1
LCM(84624,84643) = 7162829232

Least Common Multiple (LCM) of 84624 and 84643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84624 and 84643. First we will calculate the prime factors of 84624 and 84643.

Prime Factorization of 84624

Prime Factorization of 84643

Now multiplying the highest exponent prime factors to calculate the LCM of 84624 and 84643.

LCM(84624,84643) = 2⁴ × 3¹ × 41¹ × 43¹ × 13¹ × 17¹ × 383¹
LCM(84624,84643) = 7162829232