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What is the Least Common Multiple of 25215 and 25230?

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 25215 and 25230 is 42411630.

LCM(25215,25230) = 42411630

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Least Common Multiple of 25215 and 25230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25215 and 25230, than apply into the LCM equation.

GCF(25215,25230) = 15
LCM(25215,25230) = ( 25215 × 25230) / 15
LCM(25215,25230) = 636174450 / 15
LCM(25215,25230) = 42411630

Least Common Multiple (LCM) of 25215 and 25230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25215 and 25230. First we will calculate the prime factors of 25215 and 25230.

Prime Factorization of 25215

Prime factors of 25215 are 3, 5, 41. Prime factorization of 25215 in exponential form is:

25215 = 31 × 51 × 412

Prime Factorization of 25230

Prime factors of 25230 are 2, 3, 5, 29. Prime factorization of 25230 in exponential form is:

25230 = 21 × 31 × 51 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 25215 and 25230.

LCM(25215,25230) = 31 × 51 × 412 × 21 × 292
LCM(25215,25230) = 42411630