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Least Common Multiple of 1225 and 1238

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 1225 and 1238 is 1516550.

LCM(1225,1238) = 1516550

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Least Common Multiple of 1225 and 1238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1225 and 1238, than apply into the LCM equation.

GCF(1225,1238) = 1
LCM(1225,1238) = ( 1225 × 1238) / 1
LCM(1225,1238) = 1516550 / 1
LCM(1225,1238) = 1516550

Least Common Multiple (LCM) of 1225 and 1238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1238. First we will calculate the prime factors of 1225 and 1238.

Prime Factorization of 1225

Prime factors of 1225 are 5, 7. Prime factorization of 1225 in exponential form is:

1225 = 52 × 72

Prime Factorization of 1238

Prime factors of 1238 are 2, 619. Prime factorization of 1238 in exponential form is:

1238 = 21 × 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1238.

LCM(1225,1238) = 52 × 72 × 21 × 6191
LCM(1225,1238) = 1516550

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