What is the Least Common Multiple of 10546 and 10555?

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 10546 and 10555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10546 and 10555, than apply into the LCM equation.

GCF(10546,10555) = 1
LCM(10546,10555) = ( 10546 × 10555) / 1
LCM(10546,10555) = 111313030 / 1
LCM(10546,10555) = 111313030

Least Common Multiple (LCM) of 10546 and 10555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10546 and 10555. First we will calculate the prime factors of 10546 and 10555.

Prime Factorization of 10546

Prime Factorization of 10555

Now multiplying the highest exponent prime factors to calculate the LCM of 10546 and 10555.

LCM(10546,10555) = 2¹ × 5273¹ × 5¹ × 2111¹
LCM(10546,10555) = 111313030