What is the Least Common Multiple of 28138 and 28151?

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 28138 and 28151 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28138 and 28151, than apply into the LCM equation.

GCF(28138,28151) = 1
LCM(28138,28151) = ( 28138 × 28151) / 1
LCM(28138,28151) = 792112838 / 1
LCM(28138,28151) = 792112838

Least Common Multiple (LCM) of 28138 and 28151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28138 and 28151. First we will calculate the prime factors of 28138 and 28151.

Prime Factorization of 28138

Prime Factorization of 28151

Now multiplying the highest exponent prime factors to calculate the LCM of 28138 and 28151.

LCM(28138,28151) = 2¹ × 11¹ × 1279¹ × 28151¹
LCM(28138,28151) = 792112838