What is the Least Common Multiple of 11045 and 11059?

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 11045 and 11059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11045 and 11059, than apply into the LCM equation.

GCF(11045,11059) = 1
LCM(11045,11059) = ( 11045 × 11059) / 1
LCM(11045,11059) = 122146655 / 1
LCM(11045,11059) = 122146655

Least Common Multiple (LCM) of 11045 and 11059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11045 and 11059. First we will calculate the prime factors of 11045 and 11059.

Prime Factorization of 11045

Prime Factorization of 11059

Now multiplying the highest exponent prime factors to calculate the LCM of 11045 and 11059.

LCM(11045,11059) = 5¹ × 47² × 11059¹
LCM(11045,11059) = 122146655