What is the Least Common Multiple of 84385 and 84390?

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 84385 and 84390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84385 and 84390, than apply into the LCM equation.

GCF(84385,84390) = 5
LCM(84385,84390) = ( 84385 × 84390) / 5
LCM(84385,84390) = 7121250150 / 5
LCM(84385,84390) = 1424250030

Least Common Multiple (LCM) of 84385 and 84390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84385 and 84390. First we will calculate the prime factors of 84385 and 84390.

Prime Factorization of 84385

Prime Factorization of 84390

Now multiplying the highest exponent prime factors to calculate the LCM of 84385 and 84390.

LCM(84385,84390) = 5¹ × 7¹ × 2411¹ × 2¹ × 3¹ × 29¹ × 97¹
LCM(84385,84390) = 1424250030