What is the Least Common Multiple of 28412 and 28430?

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 28412 and 28430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28412 and 28430, than apply into the LCM equation.

GCF(28412,28430) = 2
LCM(28412,28430) = ( 28412 × 28430) / 2
LCM(28412,28430) = 807753160 / 2
LCM(28412,28430) = 403876580

Least Common Multiple (LCM) of 28412 and 28430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28412 and 28430. First we will calculate the prime factors of 28412 and 28430.

Prime Factorization of 28412

Prime Factorization of 28430

Now multiplying the highest exponent prime factors to calculate the LCM of 28412 and 28430.

LCM(28412,28430) = 2² × 7103¹ × 5¹ × 2843¹
LCM(28412,28430) = 403876580