What is the Least Common Multiple of 16780 and 16790?

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 16780 and 16790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16780 and 16790, than apply into the LCM equation.

GCF(16780,16790) = 10
LCM(16780,16790) = ( 16780 × 16790) / 10
LCM(16780,16790) = 281736200 / 10
LCM(16780,16790) = 28173620

Least Common Multiple (LCM) of 16780 and 16790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16780 and 16790. First we will calculate the prime factors of 16780 and 16790.

Prime Factorization of 16780

Prime Factorization of 16790

Now multiplying the highest exponent prime factors to calculate the LCM of 16780 and 16790.

LCM(16780,16790) = 2² × 5¹ × 839¹ × 23¹ × 73¹
LCM(16780,16790) = 28173620