What is the Least Common Multiple of 16680 and 16690?

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 16680 and 16690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16680 and 16690, than apply into the LCM equation.

GCF(16680,16690) = 10
LCM(16680,16690) = ( 16680 × 16690) / 10
LCM(16680,16690) = 278389200 / 10
LCM(16680,16690) = 27838920

Least Common Multiple (LCM) of 16680 and 16690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16680 and 16690. First we will calculate the prime factors of 16680 and 16690.

Prime Factorization of 16680

Prime Factorization of 16690

Now multiplying the highest exponent prime factors to calculate the LCM of 16680 and 16690.

LCM(16680,16690) = 2³ × 3¹ × 5¹ × 139¹ × 1669¹
LCM(16680,16690) = 27838920