What is the Least Common Multiple of 59094 and 59106?

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 59106 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 59106, than apply into the LCM equation.

GCF(59094,59106) = 6
LCM(59094,59106) = ( 59094 × 59106) / 6
LCM(59094,59106) = 3492809964 / 6
LCM(59094,59106) = 582134994

Least Common Multiple (LCM) of 59094 and 59106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59094 and 59106. First we will calculate the prime factors of 59094 and 59106.

Prime Factorization of 59094

Prime Factorization of 59106

Now multiplying the highest exponent prime factors to calculate the LCM of 59094 and 59106.

LCM(59094,59106) = 2¹ × 3² × 7² × 67¹ × 9851¹
LCM(59094,59106) = 582134994