What is the Least Common Multiple of 11110 and 11130?

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 11110 and 11130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11110 and 11130, than apply into the LCM equation.

GCF(11110,11130) = 10
LCM(11110,11130) = ( 11110 × 11130) / 10
LCM(11110,11130) = 123654300 / 10
LCM(11110,11130) = 12365430

Least Common Multiple (LCM) of 11110 and 11130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11110 and 11130. First we will calculate the prime factors of 11110 and 11130.

Prime Factorization of 11110

Prime Factorization of 11130

Now multiplying the highest exponent prime factors to calculate the LCM of 11110 and 11130.

LCM(11110,11130) = 2¹ × 5¹ × 11¹ × 101¹ × 3¹ × 7¹ × 53¹
LCM(11110,11130) = 12365430