What is the Least Common Multiple of 11854 and 11864?

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 11854 and 11864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11854 and 11864, than apply into the LCM equation.

GCF(11854,11864) = 2
LCM(11854,11864) = ( 11854 × 11864) / 2
LCM(11854,11864) = 140635856 / 2
LCM(11854,11864) = 70317928

Least Common Multiple (LCM) of 11854 and 11864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11854 and 11864. First we will calculate the prime factors of 11854 and 11864.

Prime Factorization of 11854

Prime Factorization of 11864

Now multiplying the highest exponent prime factors to calculate the LCM of 11854 and 11864.

LCM(11854,11864) = 2³ × 5927¹ × 1483¹
LCM(11854,11864) = 70317928