What is the Least Common Multiple of 85404 and 85423?

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 85404 and 85423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85404 and 85423, than apply into the LCM equation.

GCF(85404,85423) = 1
LCM(85404,85423) = ( 85404 × 85423) / 1
LCM(85404,85423) = 7295465892 / 1
LCM(85404,85423) = 7295465892

Least Common Multiple (LCM) of 85404 and 85423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85404 and 85423. First we will calculate the prime factors of 85404 and 85423.

Prime Factorization of 85404

Prime Factorization of 85423

Now multiplying the highest exponent prime factors to calculate the LCM of 85404 and 85423.

LCM(85404,85423) = 2² × 3¹ × 11¹ × 647¹ × 13¹ × 6571¹
LCM(85404,85423) = 7295465892