What is the Least Common Multiple of 85312 and 85324?

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 85312 and 85324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85312 and 85324, than apply into the LCM equation.

GCF(85312,85324) = 4
LCM(85312,85324) = ( 85312 × 85324) / 4
LCM(85312,85324) = 7279161088 / 4
LCM(85312,85324) = 1819790272

Least Common Multiple (LCM) of 85312 and 85324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85312 and 85324. First we will calculate the prime factors of 85312 and 85324.

Prime Factorization of 85312

Prime Factorization of 85324

Now multiplying the highest exponent prime factors to calculate the LCM of 85312 and 85324.

LCM(85312,85324) = 2⁶ × 31¹ × 43¹ × 83¹ × 257¹
LCM(85312,85324) = 1819790272