What is the Least Common Multiple of 4058 and 4078?

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 4058 and 4078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4058 and 4078, than apply into the LCM equation.

GCF(4058,4078) = 2
LCM(4058,4078) = ( 4058 × 4078) / 2
LCM(4058,4078) = 16548524 / 2
LCM(4058,4078) = 8274262

Least Common Multiple (LCM) of 4058 and 4078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4058 and 4078. First we will calculate the prime factors of 4058 and 4078.

Prime Factorization of 4058

Prime Factorization of 4078

Now multiplying the highest exponent prime factors to calculate the LCM of 4058 and 4078.

LCM(4058,4078) = 2¹ × 2029¹ × 2039¹
LCM(4058,4078) = 8274262