What is the Least Common Multiple of 28112 and 28130?

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 28112 and 28130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28112 and 28130, than apply into the LCM equation.

GCF(28112,28130) = 2
LCM(28112,28130) = ( 28112 × 28130) / 2
LCM(28112,28130) = 790790560 / 2
LCM(28112,28130) = 395395280

Least Common Multiple (LCM) of 28112 and 28130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28112 and 28130. First we will calculate the prime factors of 28112 and 28130.

Prime Factorization of 28112

Prime Factorization of 28130

Now multiplying the highest exponent prime factors to calculate the LCM of 28112 and 28130.

LCM(28112,28130) = 2⁴ × 7¹ × 251¹ × 5¹ × 29¹ × 97¹
LCM(28112,28130) = 395395280