What is the Least Common Multiple of 11812 and 11818?

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 11812 and 11818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11812 and 11818, than apply into the LCM equation.

GCF(11812,11818) = 2
LCM(11812,11818) = ( 11812 × 11818) / 2
LCM(11812,11818) = 139594216 / 2
LCM(11812,11818) = 69797108

Least Common Multiple (LCM) of 11812 and 11818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11812 and 11818. First we will calculate the prime factors of 11812 and 11818.

Prime Factorization of 11812

Prime Factorization of 11818

Now multiplying the highest exponent prime factors to calculate the LCM of 11812 and 11818.

LCM(11812,11818) = 2² × 2953¹ × 19¹ × 311¹
LCM(11812,11818) = 69797108