What is the Least Common Multiple of 57069 and 57085?

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 57069 and 57085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57069 and 57085, than apply into the LCM equation.

GCF(57069,57085) = 1
LCM(57069,57085) = ( 57069 × 57085) / 1
LCM(57069,57085) = 3257783865 / 1
LCM(57069,57085) = 3257783865

Least Common Multiple (LCM) of 57069 and 57085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57069 and 57085. First we will calculate the prime factors of 57069 and 57085.

Prime Factorization of 57069

Prime Factorization of 57085

Now multiplying the highest exponent prime factors to calculate the LCM of 57069 and 57085.

LCM(57069,57085) = 3² × 17¹ × 373¹ × 5¹ × 7² × 233¹
LCM(57069,57085) = 3257783865