GCF and LCM Calculator Logo

What is the Least Common Multiple of 38226 and 38230?

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 38226 and 38230 is 730689990.

LCM(38226,38230) = 730689990

LCM Calculator and
and

Least Common Multiple of 38226 and 38230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38226 and 38230, than apply into the LCM equation.

GCF(38226,38230) = 2
LCM(38226,38230) = ( 38226 × 38230) / 2
LCM(38226,38230) = 1461379980 / 2
LCM(38226,38230) = 730689990

Least Common Multiple (LCM) of 38226 and 38230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38226 and 38230. First we will calculate the prime factors of 38226 and 38230.

Prime Factorization of 38226

Prime factors of 38226 are 2, 3, 23, 277. Prime factorization of 38226 in exponential form is:

38226 = 21 × 31 × 231 × 2771

Prime Factorization of 38230

Prime factors of 38230 are 2, 5, 3823. Prime factorization of 38230 in exponential form is:

38230 = 21 × 51 × 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 38226 and 38230.

LCM(38226,38230) = 21 × 31 × 231 × 2771 × 51 × 38231
LCM(38226,38230) = 730689990