GCF and LCM Calculator Logo

What is the Least Common Multiple of 17050 and 17070?

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 17050 and 17070 is 29104350.

LCM(17050,17070) = 29104350

LCM Calculator and
and

Least Common Multiple of 17050 and 17070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17050 and 17070, than apply into the LCM equation.

GCF(17050,17070) = 10
LCM(17050,17070) = ( 17050 × 17070) / 10
LCM(17050,17070) = 291043500 / 10
LCM(17050,17070) = 29104350

Least Common Multiple (LCM) of 17050 and 17070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17050 and 17070. First we will calculate the prime factors of 17050 and 17070.

Prime Factorization of 17050

Prime factors of 17050 are 2, 5, 11, 31. Prime factorization of 17050 in exponential form is:

17050 = 21 × 52 × 111 × 311

Prime Factorization of 17070

Prime factors of 17070 are 2, 3, 5, 569. Prime factorization of 17070 in exponential form is:

17070 = 21 × 31 × 51 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 17050 and 17070.

LCM(17050,17070) = 21 × 52 × 111 × 311 × 31 × 5691
LCM(17050,17070) = 29104350