What is the Least Common Multiple of 59049 and 59058?

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 59049 and 59058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59049 and 59058, than apply into the LCM equation.

GCF(59049,59058) = 9
LCM(59049,59058) = ( 59049 × 59058) / 9
LCM(59049,59058) = 3487315842 / 9
LCM(59049,59058) = 387479538

Least Common Multiple (LCM) of 59049 and 59058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59049 and 59058. First we will calculate the prime factors of 59049 and 59058.

Prime Factorization of 59049

Prime Factorization of 59058

Now multiplying the highest exponent prime factors to calculate the LCM of 59049 and 59058.

LCM(59049,59058) = 3¹⁰ × 2¹ × 17¹ × 193¹
LCM(59049,59058) = 387479538