What is the Least Common Multiple of 58410 and 58414?

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 58414 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 58414, than apply into the LCM equation.

GCF(58410,58414) = 2
LCM(58410,58414) = ( 58410 × 58414) / 2
LCM(58410,58414) = 3411961740 / 2
LCM(58410,58414) = 1705980870

Least Common Multiple (LCM) of 58410 and 58414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58410 and 58414. First we will calculate the prime factors of 58410 and 58414.

Prime Factorization of 58410

Prime Factorization of 58414

Now multiplying the highest exponent prime factors to calculate the LCM of 58410 and 58414.

LCM(58410,58414) = 2¹ × 3² × 5¹ × 11¹ × 59¹ × 29207¹
LCM(58410,58414) = 1705980870