What is the Least Common Multiple of 84380 and 84388?

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 84380 and 84388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84380 and 84388, than apply into the LCM equation.

GCF(84380,84388) = 4
LCM(84380,84388) = ( 84380 × 84388) / 4
LCM(84380,84388) = 7120659440 / 4
LCM(84380,84388) = 1780164860

Least Common Multiple (LCM) of 84380 and 84388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84380 and 84388. First we will calculate the prime factors of 84380 and 84388.

Prime Factorization of 84380

Prime Factorization of 84388

Now multiplying the highest exponent prime factors to calculate the LCM of 84380 and 84388.

LCM(84380,84388) = 2² × 5¹ × 4219¹ × 17² × 73¹
LCM(84380,84388) = 1780164860