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What is the Least Common Multiple of 48225 and 48231?

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 48225 and 48231 is 775313325.

LCM(48225,48231) = 775313325

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Least Common Multiple of 48225 and 48231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48225 and 48231, than apply into the LCM equation.

GCF(48225,48231) = 3
LCM(48225,48231) = ( 48225 × 48231) / 3
LCM(48225,48231) = 2325939975 / 3
LCM(48225,48231) = 775313325

Least Common Multiple (LCM) of 48225 and 48231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48225 and 48231. First we will calculate the prime factors of 48225 and 48231.

Prime Factorization of 48225

Prime factors of 48225 are 3, 5, 643. Prime factorization of 48225 in exponential form is:

48225 = 31 × 52 × 6431

Prime Factorization of 48231

Prime factors of 48231 are 3, 23, 233. Prime factorization of 48231 in exponential form is:

48231 = 32 × 231 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 48225 and 48231.

LCM(48225,48231) = 32 × 52 × 6431 × 231 × 2331
LCM(48225,48231) = 775313325