What is the Least Common Multiple of 21838 and 21848?

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 21838 and 21848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21838 and 21848, than apply into the LCM equation.

GCF(21838,21848) = 2
LCM(21838,21848) = ( 21838 × 21848) / 2
LCM(21838,21848) = 477116624 / 2
LCM(21838,21848) = 238558312

Least Common Multiple (LCM) of 21838 and 21848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21838 and 21848. First we will calculate the prime factors of 21838 and 21848.

Prime Factorization of 21838

Prime Factorization of 21848

Now multiplying the highest exponent prime factors to calculate the LCM of 21838 and 21848.

LCM(21838,21848) = 2³ × 61¹ × 179¹ × 2731¹
LCM(21838,21848) = 238558312