What is the Least Common Multiple of 11128 and 11138?

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 11128 and 11138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11128 and 11138, than apply into the LCM equation.

GCF(11128,11138) = 2
LCM(11128,11138) = ( 11128 × 11138) / 2
LCM(11128,11138) = 123943664 / 2
LCM(11128,11138) = 61971832

Least Common Multiple (LCM) of 11128 and 11138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11128 and 11138. First we will calculate the prime factors of 11128 and 11138.

Prime Factorization of 11128

Prime Factorization of 11138

Now multiplying the highest exponent prime factors to calculate the LCM of 11128 and 11138.

LCM(11128,11138) = 2³ × 13¹ × 107¹ × 5569¹
LCM(11128,11138) = 61971832