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Least Common Multiple of 1225 and 1241

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 1241 is 1520225.

LCM(1225,1241) = 1520225

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Least Common Multiple of 1225 and 1241 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 1241, than apply into the LCM equation.

GCF(1225,1241) = 1
LCM(1225,1241) = ( 1225 × 1241) / 1
LCM(1225,1241) = 1520225 / 1
LCM(1225,1241) = 1520225

Least Common Multiple (LCM) of 1225 and 1241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1241. First we will calculate the prime factors of 1225 and 1241.

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 1241

Prime factors of 1241 are 17, 73. Prime factorization of 1241 in exponential form is:

1241 = 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1241.

LCM(1225,1241) = 52 × 72 × 171 × 731
LCM(1225,1241) = 1520225

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