What is the Least Common Multiple of 59094 and 59112?

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 59094 and 59112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59094 and 59112, than apply into the LCM equation.

GCF(59094,59112) = 18
LCM(59094,59112) = ( 59094 × 59112) / 18
LCM(59094,59112) = 3493164528 / 18
LCM(59094,59112) = 194064696

Least Common Multiple (LCM) of 59094 and 59112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59094 and 59112. First we will calculate the prime factors of 59094 and 59112.

Prime Factorization of 59094

Prime Factorization of 59112

Now multiplying the highest exponent prime factors to calculate the LCM of 59094 and 59112.

LCM(59094,59112) = 2³ × 3² × 7² × 67¹ × 821¹
LCM(59094,59112) = 194064696