What is the Least Common Multiple of 58840 and 58858?

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 58840 and 58858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58840 and 58858, than apply into the LCM equation.

GCF(58840,58858) = 2
LCM(58840,58858) = ( 58840 × 58858) / 2
LCM(58840,58858) = 3463204720 / 2
LCM(58840,58858) = 1731602360

Least Common Multiple (LCM) of 58840 and 58858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58840 and 58858. First we will calculate the prime factors of 58840 and 58858.

Prime Factorization of 58840

Prime Factorization of 58858

Now multiplying the highest exponent prime factors to calculate the LCM of 58840 and 58858.

LCM(58840,58858) = 2³ × 5¹ × 1471¹ × 29429¹
LCM(58840,58858) = 1731602360