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What is the Least Common Multiple of 57225 and 57243?

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 57225 and 57243 is 1091910225.

LCM(57225,57243) = 1091910225

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Least Common Multiple of 57225 and 57243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57225 and 57243, than apply into the LCM equation.

GCF(57225,57243) = 3
LCM(57225,57243) = ( 57225 × 57243) / 3
LCM(57225,57243) = 3275730675 / 3
LCM(57225,57243) = 1091910225

Least Common Multiple (LCM) of 57225 and 57243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57225 and 57243. First we will calculate the prime factors of 57225 and 57243.

Prime Factorization of 57225

Prime factors of 57225 are 3, 5, 7, 109. Prime factorization of 57225 in exponential form is:

57225 = 31 × 52 × 71 × 1091

Prime Factorization of 57243

Prime factors of 57243 are 3, 19081. Prime factorization of 57243 in exponential form is:

57243 = 31 × 190811

Now multiplying the highest exponent prime factors to calculate the LCM of 57225 and 57243.

LCM(57225,57243) = 31 × 52 × 71 × 1091 × 190811
LCM(57225,57243) = 1091910225