What is the Least Common Multiple of 85384 and 85388?

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 85384 and 85388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85384 and 85388, than apply into the LCM equation.

GCF(85384,85388) = 4
LCM(85384,85388) = ( 85384 × 85388) / 4
LCM(85384,85388) = 7290768992 / 4
LCM(85384,85388) = 1822692248

Least Common Multiple (LCM) of 85384 and 85388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85384 and 85388. First we will calculate the prime factors of 85384 and 85388.

Prime Factorization of 85384

Prime Factorization of 85388

Now multiplying the highest exponent prime factors to calculate the LCM of 85384 and 85388.

LCM(85384,85388) = 2³ × 13¹ × 821¹ × 21347¹
LCM(85384,85388) = 1822692248