What is the Least Common Multiple of 58356 and 58373?

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 58356 and 58373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58356 and 58373, than apply into the LCM equation.

GCF(58356,58373) = 1
LCM(58356,58373) = ( 58356 × 58373) / 1
LCM(58356,58373) = 3406414788 / 1
LCM(58356,58373) = 3406414788

Least Common Multiple (LCM) of 58356 and 58373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58356 and 58373. First we will calculate the prime factors of 58356 and 58373.

Prime Factorization of 58356

Prime Factorization of 58373

Now multiplying the highest exponent prime factors to calculate the LCM of 58356 and 58373.

LCM(58356,58373) = 2² × 3² × 1621¹ × 7¹ × 31¹ × 269¹
LCM(58356,58373) = 3406414788