GCF and LCM Calculator Logo

What is the Least Common Multiple of 38203 and 38222?

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 38203 and 38222 is 1460195066.

LCM(38203,38222) = 1460195066

LCM Calculator and
and

Least Common Multiple of 38203 and 38222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38203 and 38222, than apply into the LCM equation.

GCF(38203,38222) = 1
LCM(38203,38222) = ( 38203 × 38222) / 1
LCM(38203,38222) = 1460195066 / 1
LCM(38203,38222) = 1460195066

Least Common Multiple (LCM) of 38203 and 38222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38203 and 38222. First we will calculate the prime factors of 38203 and 38222.

Prime Factorization of 38203

Prime factors of 38203 are 11, 23, 151. Prime factorization of 38203 in exponential form is:

38203 = 111 × 231 × 1511

Prime Factorization of 38222

Prime factors of 38222 are 2, 29, 659. Prime factorization of 38222 in exponential form is:

38222 = 21 × 291 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 38203 and 38222.

LCM(38203,38222) = 111 × 231 × 1511 × 21 × 291 × 6591
LCM(38203,38222) = 1460195066