What is the Least Common Multiple of 85224 and 85229?

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 85224 and 85229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85224 and 85229, than apply into the LCM equation.

GCF(85224,85229) = 1
LCM(85224,85229) = ( 85224 × 85229) / 1
LCM(85224,85229) = 7263556296 / 1
LCM(85224,85229) = 7263556296

Least Common Multiple (LCM) of 85224 and 85229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85224 and 85229. First we will calculate the prime factors of 85224 and 85229.

Prime Factorization of 85224

Prime Factorization of 85229

Now multiplying the highest exponent prime factors to calculate the LCM of 85224 and 85229.

LCM(85224,85229) = 2³ × 3¹ × 53¹ × 67¹ × 85229¹
LCM(85224,85229) = 7263556296