GCF and LCM Calculator Logo

What is the Least Common Multiple of 16973 and 16979?

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 (LCM) of 16973 and 16979 is 288184567.

LCM(16973,16979) = 288184567

LCM Calculator and
and

Least Common Multiple of 16973 and 16979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16973 and 16979, than apply into the LCM equation.

GCF(16973,16979) = 1
LCM(16973,16979) = ( 16973 × 16979) / 1
LCM(16973,16979) = 288184567 / 1
LCM(16973,16979) = 288184567

Least Common Multiple (LCM) of 16973 and 16979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16973 and 16979. First we will calculate the prime factors of 16973 and 16979.

Prime Factorization of 16973

Prime factors of 16973 are 11, 1543. Prime factorization of 16973 in exponential form is:

16973 = 111 × 15431

Prime Factorization of 16979

Prime factors of 16979 are 16979. Prime factorization of 16979 in exponential form is:

16979 = 169791

Now multiplying the highest exponent prime factors to calculate the LCM of 16973 and 16979.

LCM(16973,16979) = 111 × 15431 × 169791
LCM(16973,16979) = 288184567