What is the Least Common Multiple of 28058 and 28076?

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 28058 and 28076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28058 and 28076, than apply into the LCM equation.

GCF(28058,28076) = 2
LCM(28058,28076) = ( 28058 × 28076) / 2
LCM(28058,28076) = 787756408 / 2
LCM(28058,28076) = 393878204

Least Common Multiple (LCM) of 28058 and 28076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28058 and 28076. First we will calculate the prime factors of 28058 and 28076.

Prime Factorization of 28058

Prime Factorization of 28076

Now multiplying the highest exponent prime factors to calculate the LCM of 28058 and 28076.

LCM(28058,28076) = 2² × 14029¹ × 7019¹
LCM(28058,28076) = 393878204