What is the Least Common Multiple of 84720 and 84738?

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 84720 and 84738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84720 and 84738, than apply into the LCM equation.

GCF(84720,84738) = 6
LCM(84720,84738) = ( 84720 × 84738) / 6
LCM(84720,84738) = 7179003360 / 6
LCM(84720,84738) = 1196500560

Least Common Multiple (LCM) of 84720 and 84738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84720 and 84738. First we will calculate the prime factors of 84720 and 84738.

Prime Factorization of 84720

Prime Factorization of 84738

Now multiplying the highest exponent prime factors to calculate the LCM of 84720 and 84738.

LCM(84720,84738) = 2⁴ × 3¹ × 5¹ × 353¹ × 29¹ × 487¹
LCM(84720,84738) = 1196500560