What is the Least Common Multiple of 85346 and 85352?

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 85346 and 85352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85346 and 85352, than apply into the LCM equation.

GCF(85346,85352) = 2
LCM(85346,85352) = ( 85346 × 85352) / 2
LCM(85346,85352) = 7284451792 / 2
LCM(85346,85352) = 3642225896

Least Common Multiple (LCM) of 85346 and 85352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85346 and 85352. First we will calculate the prime factors of 85346 and 85352.

Prime Factorization of 85346

Prime Factorization of 85352

Now multiplying the highest exponent prime factors to calculate the LCM of 85346 and 85352.

LCM(85346,85352) = 2³ × 139¹ × 307¹ × 47¹ × 227¹
LCM(85346,85352) = 3642225896