What is the Least Common Multiple of 85702 and 85712?

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 85702 and 85712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85702 and 85712, than apply into the LCM equation.

GCF(85702,85712) = 2
LCM(85702,85712) = ( 85702 × 85712) / 2
LCM(85702,85712) = 7345689824 / 2
LCM(85702,85712) = 3672844912

Least Common Multiple (LCM) of 85702 and 85712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85702 and 85712. First we will calculate the prime factors of 85702 and 85712.

Prime Factorization of 85702

Prime Factorization of 85712

Now multiplying the highest exponent prime factors to calculate the LCM of 85702 and 85712.

LCM(85702,85712) = 2⁴ × 73¹ × 587¹ × 11¹ × 487¹
LCM(85702,85712) = 3672844912