What is the Least Common Multiple of 59049 and 59057?

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 59057 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 59057, than apply into the LCM equation.

GCF(59049,59057) = 1
LCM(59049,59057) = ( 59049 × 59057) / 1
LCM(59049,59057) = 3487256793 / 1
LCM(59049,59057) = 3487256793

Least Common Multiple (LCM) of 59049 and 59057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59049 and 59057. First we will calculate the prime factors of 59049 and 59057.

Prime Factorization of 59049

Prime Factorization of 59057

Now multiplying the highest exponent prime factors to calculate the LCM of 59049 and 59057.

LCM(59049,59057) = 3¹⁰ × 73¹ × 809¹
LCM(59049,59057) = 3487256793