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What is the Least Common Multiple of 15265 and 15285?

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 15265 and 15285 is 46665105.

LCM(15265,15285) = 46665105

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Least Common Multiple of 15265 and 15285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15265 and 15285, than apply into the LCM equation.

GCF(15265,15285) = 5
LCM(15265,15285) = ( 15265 × 15285) / 5
LCM(15265,15285) = 233325525 / 5
LCM(15265,15285) = 46665105

Least Common Multiple (LCM) of 15265 and 15285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15265 and 15285. First we will calculate the prime factors of 15265 and 15285.

Prime Factorization of 15265

Prime factors of 15265 are 5, 43, 71. Prime factorization of 15265 in exponential form is:

15265 = 51 × 431 × 711

Prime Factorization of 15285

Prime factors of 15285 are 3, 5, 1019. Prime factorization of 15285 in exponential form is:

15285 = 31 × 51 × 10191

Now multiplying the highest exponent prime factors to calculate the LCM of 15265 and 15285.

LCM(15265,15285) = 51 × 431 × 711 × 31 × 10191
LCM(15265,15285) = 46665105