What is the Least Common Multiple of 85731 and 85746?

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 85731 and 85746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85731 and 85746, than apply into the LCM equation.

GCF(85731,85746) = 3
LCM(85731,85746) = ( 85731 × 85746) / 3
LCM(85731,85746) = 7351090326 / 3
LCM(85731,85746) = 2450363442

Least Common Multiple (LCM) of 85731 and 85746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85731 and 85746. First we will calculate the prime factors of 85731 and 85746.

Prime Factorization of 85731

Prime Factorization of 85746

Now multiplying the highest exponent prime factors to calculate the LCM of 85731 and 85746.

LCM(85731,85746) = 3¹ × 17¹ × 41² × 2¹ × 31¹ × 461¹
LCM(85731,85746) = 2450363442