What is the Least Common Multiple of 16700 and 16705?

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 16700 and 16705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16700 and 16705, than apply into the LCM equation.

GCF(16700,16705) = 5
LCM(16700,16705) = ( 16700 × 16705) / 5
LCM(16700,16705) = 278973500 / 5
LCM(16700,16705) = 55794700

Least Common Multiple (LCM) of 16700 and 16705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16700 and 16705. First we will calculate the prime factors of 16700 and 16705.

Prime Factorization of 16700

Prime Factorization of 16705

Now multiplying the highest exponent prime factors to calculate the LCM of 16700 and 16705.

LCM(16700,16705) = 2² × 5² × 167¹ × 13¹ × 257¹
LCM(16700,16705) = 55794700