What is the Least Common Multiple of 20854 and 20863?

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 20854 and 20863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20854 and 20863, than apply into the LCM equation.

GCF(20854,20863) = 1
LCM(20854,20863) = ( 20854 × 20863) / 1
LCM(20854,20863) = 435077002 / 1
LCM(20854,20863) = 435077002

Least Common Multiple (LCM) of 20854 and 20863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20854 and 20863. First we will calculate the prime factors of 20854 and 20863.

Prime Factorization of 20854

Prime Factorization of 20863

Now multiplying the highest exponent prime factors to calculate the LCM of 20854 and 20863.

LCM(20854,20863) = 2¹ × 10427¹ × 31¹ × 673¹
LCM(20854,20863) = 435077002