What is the Least Common Multiple of 11842 and 11852?

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 11842 and 11852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11842 and 11852, than apply into the LCM equation.

GCF(11842,11852) = 2
LCM(11842,11852) = ( 11842 × 11852) / 2
LCM(11842,11852) = 140351384 / 2
LCM(11842,11852) = 70175692

Least Common Multiple (LCM) of 11842 and 11852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11842 and 11852. First we will calculate the prime factors of 11842 and 11852.

Prime Factorization of 11842

Prime Factorization of 11852

Now multiplying the highest exponent prime factors to calculate the LCM of 11842 and 11852.

LCM(11842,11852) = 2² × 31¹ × 191¹ × 2963¹
LCM(11842,11852) = 70175692