What is the Least Common Multiple of 16848 and 16861?

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 16848 and 16861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16848 and 16861, than apply into the LCM equation.

GCF(16848,16861) = 13
LCM(16848,16861) = ( 16848 × 16861) / 13
LCM(16848,16861) = 284074128 / 13
LCM(16848,16861) = 21851856

Least Common Multiple (LCM) of 16848 and 16861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16848 and 16861. First we will calculate the prime factors of 16848 and 16861.

Prime Factorization of 16848

Prime Factorization of 16861

Now multiplying the highest exponent prime factors to calculate the LCM of 16848 and 16861.

LCM(16848,16861) = 2⁴ × 3⁴ × 13¹ × 1297¹
LCM(16848,16861) = 21851856