What is the Least Common Multiple of 85845 and 85864?

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 85845 and 85864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85845 and 85864, than apply into the LCM equation.

GCF(85845,85864) = 1
LCM(85845,85864) = ( 85845 × 85864) / 1
LCM(85845,85864) = 7370995080 / 1
LCM(85845,85864) = 7370995080

Least Common Multiple (LCM) of 85845 and 85864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85845 and 85864. First we will calculate the prime factors of 85845 and 85864.

Prime Factorization of 85845

Prime Factorization of 85864

Now multiplying the highest exponent prime factors to calculate the LCM of 85845 and 85864.

LCM(85845,85864) = 3¹ × 5¹ × 59¹ × 97¹ × 2³ × 10733¹
LCM(85845,85864) = 7370995080