What is the Least Common Multiple of 59085 and 59094?

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 59085 and 59094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59085 and 59094, than apply into the LCM equation.

GCF(59085,59094) = 9
LCM(59085,59094) = ( 59085 × 59094) / 9
LCM(59085,59094) = 3491568990 / 9
LCM(59085,59094) = 387952110

Least Common Multiple (LCM) of 59085 and 59094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59085 and 59094. First we will calculate the prime factors of 59085 and 59094.

Prime Factorization of 59085

Prime Factorization of 59094

Now multiplying the highest exponent prime factors to calculate the LCM of 59085 and 59094.

LCM(59085,59094) = 3² × 5¹ × 13¹ × 101¹ × 2¹ × 7² × 67¹
LCM(59085,59094) = 387952110