What is the Least Common Multiple of 58410 and 58423?

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 58410 and 58423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58410 and 58423, than apply into the LCM equation.

GCF(58410,58423) = 1
LCM(58410,58423) = ( 58410 × 58423) / 1
LCM(58410,58423) = 3412487430 / 1
LCM(58410,58423) = 3412487430

Least Common Multiple (LCM) of 58410 and 58423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58410 and 58423. First we will calculate the prime factors of 58410 and 58423.

Prime Factorization of 58410

Prime Factorization of 58423

Now multiplying the highest exponent prime factors to calculate the LCM of 58410 and 58423.

LCM(58410,58423) = 2¹ × 3² × 5¹ × 11¹ × 59¹ × 37¹ × 1579¹
LCM(58410,58423) = 3412487430