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Least Common Multiple of 1225 and 1231

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 1231 is 1507975.

LCM(1225,1231) = 1507975

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Least Common Multiple of 1225 and 1231 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 1231, than apply into the LCM equation.

GCF(1225,1231) = 1
LCM(1225,1231) = ( 1225 × 1231) / 1
LCM(1225,1231) = 1507975 / 1
LCM(1225,1231) = 1507975

Least Common Multiple (LCM) of 1225 and 1231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1231. First we will calculate the prime factors of 1225 and 1231.

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 1231

Prime factors of 1231 are 1231. Prime factorization of 1231 in exponential form is:

1231 = 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1231.

LCM(1225,1231) = 52 × 72 × 12311
LCM(1225,1231) = 1507975

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