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What is the Least Common Multiple of 54215 and 54225?

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 54215 and 54225 is 587961675.

LCM(54215,54225) = 587961675

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Least Common Multiple of 54215 and 54225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54215 and 54225, than apply into the LCM equation.

GCF(54215,54225) = 5
LCM(54215,54225) = ( 54215 × 54225) / 5
LCM(54215,54225) = 2939808375 / 5
LCM(54215,54225) = 587961675

Least Common Multiple (LCM) of 54215 and 54225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54215 and 54225. First we will calculate the prime factors of 54215 and 54225.

Prime Factorization of 54215

Prime factors of 54215 are 5, 7, 1549. Prime factorization of 54215 in exponential form is:

54215 = 51 × 71 × 15491

Prime Factorization of 54225

Prime factors of 54225 are 3, 5, 241. Prime factorization of 54225 in exponential form is:

54225 = 32 × 52 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 54215 and 54225.

LCM(54215,54225) = 52 × 71 × 15491 × 32 × 2411
LCM(54215,54225) = 587961675