What is the Least Common Multiple of 28912 and 28922?

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 28912 and 28922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28912 and 28922, than apply into the LCM equation.

GCF(28912,28922) = 2
LCM(28912,28922) = ( 28912 × 28922) / 2
LCM(28912,28922) = 836192864 / 2
LCM(28912,28922) = 418096432

Least Common Multiple (LCM) of 28912 and 28922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28912 and 28922. First we will calculate the prime factors of 28912 and 28922.

Prime Factorization of 28912

Prime Factorization of 28922

Now multiplying the highest exponent prime factors to calculate the LCM of 28912 and 28922.

LCM(28912,28922) = 2⁴ × 13¹ × 139¹ × 14461¹
LCM(28912,28922) = 418096432