What is the Least Common Multiple of 18838 and 18854?

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 18838 and 18854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18838 and 18854, than apply into the LCM equation.

GCF(18838,18854) = 2
LCM(18838,18854) = ( 18838 × 18854) / 2
LCM(18838,18854) = 355171652 / 2
LCM(18838,18854) = 177585826

Least Common Multiple (LCM) of 18838 and 18854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18838 and 18854. First we will calculate the prime factors of 18838 and 18854.

Prime Factorization of 18838

Prime Factorization of 18854

Now multiplying the highest exponent prime factors to calculate the LCM of 18838 and 18854.

LCM(18838,18854) = 2¹ × 9419¹ × 11¹ × 857¹
LCM(18838,18854) = 177585826