What is the Least Common Multiple of 16960 and 16972?

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 16972 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 16972, than apply into the LCM equation.

GCF(16960,16972) = 4
LCM(16960,16972) = ( 16960 × 16972) / 4
LCM(16960,16972) = 287845120 / 4
LCM(16960,16972) = 71961280

Least Common Multiple (LCM) of 16960 and 16972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16960 and 16972. First we will calculate the prime factors of 16960 and 16972.

Prime Factorization of 16960

Prime Factorization of 16972

Now multiplying the highest exponent prime factors to calculate the LCM of 16960 and 16972.

LCM(16960,16972) = 2⁶ × 5¹ × 53¹ × 4243¹
LCM(16960,16972) = 71961280