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Least Common Multiple of 1225 and 1233

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 1233 is 1510425.

LCM(1225,1233) = 1510425

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Least Common Multiple of 1225 and 1233 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 1233, than apply into the LCM equation.

GCF(1225,1233) = 1
LCM(1225,1233) = ( 1225 × 1233) / 1
LCM(1225,1233) = 1510425 / 1
LCM(1225,1233) = 1510425

Least Common Multiple (LCM) of 1225 and 1233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1233. First we will calculate the prime factors of 1225 and 1233.

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 1233

Prime factors of 1233 are 3, 137. Prime factorization of 1233 in exponential form is:

1233 = 32 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1233.

LCM(1225,1233) = 52 × 72 × 32 × 1371
LCM(1225,1233) = 1510425

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