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What is the Least Common Multiple of 7263 and 7275?

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 7263 and 7275 is 17612775.

LCM(7263,7275) = 17612775

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Least Common Multiple of 7263 and 7275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7263 and 7275, than apply into the LCM equation.

GCF(7263,7275) = 3
LCM(7263,7275) = ( 7263 × 7275) / 3
LCM(7263,7275) = 52838325 / 3
LCM(7263,7275) = 17612775

Least Common Multiple (LCM) of 7263 and 7275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7263 and 7275. First we will calculate the prime factors of 7263 and 7275.

Prime Factorization of 7263

Prime factors of 7263 are 3, 269. Prime factorization of 7263 in exponential form is:

7263 = 33 × 2691

Prime Factorization of 7275

Prime factors of 7275 are 3, 5, 97. Prime factorization of 7275 in exponential form is:

7275 = 31 × 52 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 7263 and 7275.

LCM(7263,7275) = 33 × 2691 × 52 × 971
LCM(7263,7275) = 17612775