What is the Least Common Multiple of 28314 and 28324?

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 28314 and 28324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28314 and 28324, than apply into the LCM equation.

GCF(28314,28324) = 2
LCM(28314,28324) = ( 28314 × 28324) / 2
LCM(28314,28324) = 801965736 / 2
LCM(28314,28324) = 400982868

Least Common Multiple (LCM) of 28314 and 28324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28314 and 28324. First we will calculate the prime factors of 28314 and 28324.

Prime Factorization of 28314

Prime Factorization of 28324

Now multiplying the highest exponent prime factors to calculate the LCM of 28314 and 28324.

LCM(28314,28324) = 2² × 3² × 11² × 13¹ × 73¹ × 97¹
LCM(28314,28324) = 400982868