What is the Least Common Multiple of 85708 and 85723?

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 85708 and 85723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85708 and 85723, than apply into the LCM equation.

GCF(85708,85723) = 1
LCM(85708,85723) = ( 85708 × 85723) / 1
LCM(85708,85723) = 7347146884 / 1
LCM(85708,85723) = 7347146884

Least Common Multiple (LCM) of 85708 and 85723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85708 and 85723. First we will calculate the prime factors of 85708 and 85723.

Prime Factorization of 85708

Prime Factorization of 85723

Now multiplying the highest exponent prime factors to calculate the LCM of 85708 and 85723.

LCM(85708,85723) = 2² × 7¹ × 3061¹ × 11¹ × 7793¹
LCM(85708,85723) = 7347146884