What is the Least Common Multiple of 85340 and 85354?

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 85340 and 85354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85340 and 85354, than apply into the LCM equation.

GCF(85340,85354) = 2
LCM(85340,85354) = ( 85340 × 85354) / 2
LCM(85340,85354) = 7284110360 / 2
LCM(85340,85354) = 3642055180

Least Common Multiple (LCM) of 85340 and 85354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85340 and 85354. First we will calculate the prime factors of 85340 and 85354.

Prime Factorization of 85340

Prime Factorization of 85354

Now multiplying the highest exponent prime factors to calculate the LCM of 85340 and 85354.

LCM(85340,85354) = 2² × 5¹ × 17¹ × 251¹ × 42677¹
LCM(85340,85354) = 3642055180