What is the Least Common Multiple of 16770 and 16785?

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 16770 and 16785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16770 and 16785, than apply into the LCM equation.

GCF(16770,16785) = 15
LCM(16770,16785) = ( 16770 × 16785) / 15
LCM(16770,16785) = 281484450 / 15
LCM(16770,16785) = 18765630

Least Common Multiple (LCM) of 16770 and 16785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16770 and 16785. First we will calculate the prime factors of 16770 and 16785.

Prime Factorization of 16770

Prime Factorization of 16785

Now multiplying the highest exponent prime factors to calculate the LCM of 16770 and 16785.

LCM(16770,16785) = 2¹ × 3² × 5¹ × 13¹ × 43¹ × 373¹
LCM(16770,16785) = 18765630