GCF and LCM Calculator Logo

What is the Least Common Multiple of 17111 and 17120?

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 17111 and 17120 is 292940320.

LCM(17111,17120) = 292940320

LCM Calculator and
and

Least Common Multiple of 17111 and 17120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17111 and 17120, than apply into the LCM equation.

GCF(17111,17120) = 1
LCM(17111,17120) = ( 17111 × 17120) / 1
LCM(17111,17120) = 292940320 / 1
LCM(17111,17120) = 292940320

Least Common Multiple (LCM) of 17111 and 17120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17111 and 17120. First we will calculate the prime factors of 17111 and 17120.

Prime Factorization of 17111

Prime factors of 17111 are 71, 241. Prime factorization of 17111 in exponential form is:

17111 = 711 × 2411

Prime Factorization of 17120

Prime factors of 17120 are 2, 5, 107. Prime factorization of 17120 in exponential form is:

17120 = 25 × 51 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 17111 and 17120.

LCM(17111,17120) = 711 × 2411 × 25 × 51 × 1071
LCM(17111,17120) = 292940320