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What is the Least Common Multiple of 15265 and 15276?

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 15276 is 233188140.

LCM(15265,15276) = 233188140

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Least Common Multiple of 15265 and 15276 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 15276, than apply into the LCM equation.

GCF(15265,15276) = 1
LCM(15265,15276) = ( 15265 × 15276) / 1
LCM(15265,15276) = 233188140 / 1
LCM(15265,15276) = 233188140

Least Common Multiple (LCM) of 15265 and 15276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15265 and 15276. First we will calculate the prime factors of 15265 and 15276.

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 15276

Prime factors of 15276 are 2, 3, 19, 67. Prime factorization of 15276 in exponential form is:

15276 = 22 × 31 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 15265 and 15276.

LCM(15265,15276) = 51 × 431 × 711 × 22 × 31 × 191 × 671
LCM(15265,15276) = 233188140