What is the Least Common Multiple of 85407 and 85413?

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 85407 and 85413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85407 and 85413, than apply into the LCM equation.

GCF(85407,85413) = 3
LCM(85407,85413) = ( 85407 × 85413) / 3
LCM(85407,85413) = 7294868091 / 3
LCM(85407,85413) = 2431622697

Least Common Multiple (LCM) of 85407 and 85413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85407 and 85413. First we will calculate the prime factors of 85407 and 85413.

Prime Factorization of 85407

Prime Factorization of 85413

Now multiplying the highest exponent prime factors to calculate the LCM of 85407 and 85413.

LCM(85407,85413) = 3¹ × 7³ × 83¹ × 71¹ × 401¹
LCM(85407,85413) = 2431622697