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What is the Least Common Multiple of 13225 and 13233?

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 13225 and 13233 is 175006425.

LCM(13225,13233) = 175006425

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Least Common Multiple of 13225 and 13233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13225 and 13233, than apply into the LCM equation.

GCF(13225,13233) = 1
LCM(13225,13233) = ( 13225 × 13233) / 1
LCM(13225,13233) = 175006425 / 1
LCM(13225,13233) = 175006425

Least Common Multiple (LCM) of 13225 and 13233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13225 and 13233. First we will calculate the prime factors of 13225 and 13233.

Prime Factorization of 13225

Prime factors of 13225 are 5, 23. Prime factorization of 13225 in exponential form is:

13225 = 52 × 232

Prime Factorization of 13233

Prime factors of 13233 are 3, 11, 401. Prime factorization of 13233 in exponential form is:

13233 = 31 × 111 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 13225 and 13233.

LCM(13225,13233) = 52 × 232 × 31 × 111 × 4011
LCM(13225,13233) = 175006425