GCF and LCM Calculator Logo

What is the Least Common Multiple of 38182 and 38201?

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 38182 and 38201 is 1458590582.

LCM(38182,38201) = 1458590582

LCM Calculator and
and

Least Common Multiple of 38182 and 38201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38182 and 38201, than apply into the LCM equation.

GCF(38182,38201) = 1
LCM(38182,38201) = ( 38182 × 38201) / 1
LCM(38182,38201) = 1458590582 / 1
LCM(38182,38201) = 1458590582

Least Common Multiple (LCM) of 38182 and 38201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38182 and 38201. First we will calculate the prime factors of 38182 and 38201.

Prime Factorization of 38182

Prime factors of 38182 are 2, 17, 1123. Prime factorization of 38182 in exponential form is:

38182 = 21 × 171 × 11231

Prime Factorization of 38201

Prime factors of 38201 are 38201. Prime factorization of 38201 in exponential form is:

38201 = 382011

Now multiplying the highest exponent prime factors to calculate the LCM of 38182 and 38201.

LCM(38182,38201) = 21 × 171 × 11231 × 382011
LCM(38182,38201) = 1458590582