What is the Least Common Multiple of 58420 and 58438?

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 58420 and 58438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58420 and 58438, than apply into the LCM equation.

GCF(58420,58438) = 2
LCM(58420,58438) = ( 58420 × 58438) / 2
LCM(58420,58438) = 3413947960 / 2
LCM(58420,58438) = 1706973980

Least Common Multiple (LCM) of 58420 and 58438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58420 and 58438. First we will calculate the prime factors of 58420 and 58438.

Prime Factorization of 58420

Prime Factorization of 58438

Now multiplying the highest exponent prime factors to calculate the LCM of 58420 and 58438.

LCM(58420,58438) = 2² × 5¹ × 23¹ × 127¹ × 61¹ × 479¹
LCM(58420,58438) = 1706973980