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What is the Least Common Multiple of 6253 and 6265?

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 6253 and 6265 is 39175045.

LCM(6253,6265) = 39175045

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Least Common Multiple of 6253 and 6265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6253 and 6265, than apply into the LCM equation.

GCF(6253,6265) = 1
LCM(6253,6265) = ( 6253 × 6265) / 1
LCM(6253,6265) = 39175045 / 1
LCM(6253,6265) = 39175045

Least Common Multiple (LCM) of 6253 and 6265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6253 and 6265. First we will calculate the prime factors of 6253 and 6265.

Prime Factorization of 6253

Prime factors of 6253 are 13, 37. Prime factorization of 6253 in exponential form is:

6253 = 132 × 371

Prime Factorization of 6265

Prime factors of 6265 are 5, 7, 179. Prime factorization of 6265 in exponential form is:

6265 = 51 × 71 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6253 and 6265.

LCM(6253,6265) = 132 × 371 × 51 × 71 × 1791
LCM(6253,6265) = 39175045