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Least Common Multiple of 1225 and 1235

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 1235 is 302575.

LCM(1225,1235) = 302575

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Least Common Multiple of 1225 and 1235 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 1235, than apply into the LCM equation.

GCF(1225,1235) = 5
LCM(1225,1235) = ( 1225 × 1235) / 5
LCM(1225,1235) = 1512875 / 5
LCM(1225,1235) = 302575

Least Common Multiple (LCM) of 1225 and 1235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1235. First we will calculate the prime factors of 1225 and 1235.

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 1235

Prime factors of 1235 are 5, 13, 19. Prime factorization of 1235 in exponential form is:

1235 = 51 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1235.

LCM(1225,1235) = 52 × 72 × 131 × 191
LCM(1225,1235) = 302575

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