What is the Least Common Multiple of 12086 and 12100?

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 12086 and 12100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12086 and 12100, than apply into the LCM equation.

GCF(12086,12100) = 2
LCM(12086,12100) = ( 12086 × 12100) / 2
LCM(12086,12100) = 146240600 / 2
LCM(12086,12100) = 73120300

Least Common Multiple (LCM) of 12086 and 12100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12086 and 12100. First we will calculate the prime factors of 12086 and 12100.

Prime Factorization of 12086

Prime Factorization of 12100

Now multiplying the highest exponent prime factors to calculate the LCM of 12086 and 12100.

LCM(12086,12100) = 2² × 6043¹ × 5² × 11²
LCM(12086,12100) = 73120300