GCF and LCM Calculator Logo

What is the Least Common Multiple of 16242 and 16250?

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 16242 and 16250 is 131966250.

LCM(16242,16250) = 131966250

LCM Calculator and
and

Least Common Multiple of 16242 and 16250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16242 and 16250, than apply into the LCM equation.

GCF(16242,16250) = 2
LCM(16242,16250) = ( 16242 × 16250) / 2
LCM(16242,16250) = 263932500 / 2
LCM(16242,16250) = 131966250

Least Common Multiple (LCM) of 16242 and 16250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16242 and 16250. First we will calculate the prime factors of 16242 and 16250.

Prime Factorization of 16242

Prime factors of 16242 are 2, 3, 2707. Prime factorization of 16242 in exponential form is:

16242 = 21 × 31 × 27071

Prime Factorization of 16250

Prime factors of 16250 are 2, 5, 13. Prime factorization of 16250 in exponential form is:

16250 = 21 × 54 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 16242 and 16250.

LCM(16242,16250) = 21 × 31 × 27071 × 54 × 131
LCM(16242,16250) = 131966250