What is the Least Common Multiple of 84518 and 84532?

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 84518 and 84532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84518 and 84532, than apply into the LCM equation.

GCF(84518,84532) = 14
LCM(84518,84532) = ( 84518 × 84532) / 14
LCM(84518,84532) = 7144475576 / 14
LCM(84518,84532) = 510319684

Least Common Multiple (LCM) of 84518 and 84532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84518 and 84532. First we will calculate the prime factors of 84518 and 84532.

Prime Factorization of 84518

Prime Factorization of 84532

Now multiplying the highest exponent prime factors to calculate the LCM of 84518 and 84532.

LCM(84518,84532) = 2² × 7¹ × 6037¹ × 3019¹
LCM(84518,84532) = 510319684