What is the Least Common Multiple of 85695 and 85713?

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 85695 and 85713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85695 and 85713, than apply into the LCM equation.

GCF(85695,85713) = 3
LCM(85695,85713) = ( 85695 × 85713) / 3
LCM(85695,85713) = 7345175535 / 3
LCM(85695,85713) = 2448391845

Least Common Multiple (LCM) of 85695 and 85713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85695 and 85713. First we will calculate the prime factors of 85695 and 85713.

Prime Factorization of 85695

Prime Factorization of 85713

Now multiplying the highest exponent prime factors to calculate the LCM of 85695 and 85713.

LCM(85695,85713) = 3¹ × 5¹ × 29¹ × 197¹ × 28571¹
LCM(85695,85713) = 2448391845