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What is the Least Common Multiple of 38225 and 38239?

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 38225 and 38239 is 1461685775.

LCM(38225,38239) = 1461685775

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Least Common Multiple of 38225 and 38239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38225 and 38239, than apply into the LCM equation.

GCF(38225,38239) = 1
LCM(38225,38239) = ( 38225 × 38239) / 1
LCM(38225,38239) = 1461685775 / 1
LCM(38225,38239) = 1461685775

Least Common Multiple (LCM) of 38225 and 38239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38225 and 38239. First we will calculate the prime factors of 38225 and 38239.

Prime Factorization of 38225

Prime factors of 38225 are 5, 11, 139. Prime factorization of 38225 in exponential form is:

38225 = 52 × 111 × 1391

Prime Factorization of 38239

Prime factors of 38239 are 38239. Prime factorization of 38239 in exponential form is:

38239 = 382391

Now multiplying the highest exponent prime factors to calculate the LCM of 38225 and 38239.

LCM(38225,38239) = 52 × 111 × 1391 × 382391
LCM(38225,38239) = 1461685775