GCF and LCM Calculator Logo

What is the Least Common Multiple of 17092 and 17102?

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 17092 and 17102 is 146153692.

LCM(17092,17102) = 146153692

LCM Calculator and
and

Least Common Multiple of 17092 and 17102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17092 and 17102, than apply into the LCM equation.

GCF(17092,17102) = 2
LCM(17092,17102) = ( 17092 × 17102) / 2
LCM(17092,17102) = 292307384 / 2
LCM(17092,17102) = 146153692

Least Common Multiple (LCM) of 17092 and 17102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17092 and 17102. First we will calculate the prime factors of 17092 and 17102.

Prime Factorization of 17092

Prime factors of 17092 are 2, 4273. Prime factorization of 17092 in exponential form is:

17092 = 22 × 42731

Prime Factorization of 17102

Prime factors of 17102 are 2, 17, 503. Prime factorization of 17102 in exponential form is:

17102 = 21 × 171 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 17092 and 17102.

LCM(17092,17102) = 22 × 42731 × 171 × 5031
LCM(17092,17102) = 146153692