What is the Least Common Multiple of 28122 and 28138?

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 28122 and 28138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28122 and 28138, than apply into the LCM equation.

GCF(28122,28138) = 2
LCM(28122,28138) = ( 28122 × 28138) / 2
LCM(28122,28138) = 791296836 / 2
LCM(28122,28138) = 395648418

Least Common Multiple (LCM) of 28122 and 28138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28122 and 28138. First we will calculate the prime factors of 28122 and 28138.

Prime Factorization of 28122

Prime Factorization of 28138

Now multiplying the highest exponent prime factors to calculate the LCM of 28122 and 28138.

LCM(28122,28138) = 2¹ × 3¹ × 43¹ × 109¹ × 11¹ × 1279¹
LCM(28122,28138) = 395648418