What is the Least Common Multiple of 58034 and 58053?

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 58034 and 58053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58034 and 58053, than apply into the LCM equation.

GCF(58034,58053) = 1
LCM(58034,58053) = ( 58034 × 58053) / 1
LCM(58034,58053) = 3369047802 / 1
LCM(58034,58053) = 3369047802

Least Common Multiple (LCM) of 58034 and 58053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58034 and 58053. First we will calculate the prime factors of 58034 and 58053.

Prime Factorization of 58034

Prime Factorization of 58053

Now multiplying the highest exponent prime factors to calculate the LCM of 58034 and 58053.

LCM(58034,58053) = 2¹ × 29017¹ × 3¹ × 37¹ × 523¹
LCM(58034,58053) = 3369047802