What is the Least Common Multiple of 16960 and 16974?

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 16960 and 16974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16960 and 16974, than apply into the LCM equation.

GCF(16960,16974) = 2
LCM(16960,16974) = ( 16960 × 16974) / 2
LCM(16960,16974) = 287879040 / 2
LCM(16960,16974) = 143939520

Least Common Multiple (LCM) of 16960 and 16974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16960 and 16974. First we will calculate the prime factors of 16960 and 16974.

Prime Factorization of 16960

Prime Factorization of 16974

Now multiplying the highest exponent prime factors to calculate the LCM of 16960 and 16974.

LCM(16960,16974) = 2⁶ × 5¹ × 53¹ × 3² × 23¹ × 41¹
LCM(16960,16974) = 143939520