What is the Least Common Multiple of 11123 and 11135?

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 11123 and 11135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11123 and 11135, than apply into the LCM equation.

GCF(11123,11135) = 1
LCM(11123,11135) = ( 11123 × 11135) / 1
LCM(11123,11135) = 123854605 / 1
LCM(11123,11135) = 123854605

Least Common Multiple (LCM) of 11123 and 11135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11123 and 11135. First we will calculate the prime factors of 11123 and 11135.

Prime Factorization of 11123

Prime Factorization of 11135

Now multiplying the highest exponent prime factors to calculate the LCM of 11123 and 11135.

LCM(11123,11135) = 7² × 227¹ × 5¹ × 17¹ × 131¹
LCM(11123,11135) = 123854605