What is the Least Common Multiple of 28898 and 28912?

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 28898 and 28912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28898 and 28912, than apply into the LCM equation.

GCF(28898,28912) = 2
LCM(28898,28912) = ( 28898 × 28912) / 2
LCM(28898,28912) = 835498976 / 2
LCM(28898,28912) = 417749488

Least Common Multiple (LCM) of 28898 and 28912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28898 and 28912. First we will calculate the prime factors of 28898 and 28912.

Prime Factorization of 28898

Prime Factorization of 28912

Now multiplying the highest exponent prime factors to calculate the LCM of 28898 and 28912.

LCM(28898,28912) = 2⁴ × 14449¹ × 13¹ × 139¹
LCM(28898,28912) = 417749488