What is the Least Common Multiple of 20854 and 20860?

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 20860 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 20860, than apply into the LCM equation.

GCF(20854,20860) = 2
LCM(20854,20860) = ( 20854 × 20860) / 2
LCM(20854,20860) = 435014440 / 2
LCM(20854,20860) = 217507220

Least Common Multiple (LCM) of 20854 and 20860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20854 and 20860. First we will calculate the prime factors of 20854 and 20860.

Prime Factorization of 20854

Prime Factorization of 20860

Now multiplying the highest exponent prime factors to calculate the LCM of 20854 and 20860.

LCM(20854,20860) = 2² × 10427¹ × 5¹ × 7¹ × 149¹
LCM(20854,20860) = 217507220