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What is the Least Common Multiple of 5246 and 5265?

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 5246 and 5265 is 27620190.

LCM(5246,5265) = 27620190

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Least Common Multiple of 5246 and 5265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5246 and 5265, than apply into the LCM equation.

GCF(5246,5265) = 1
LCM(5246,5265) = ( 5246 × 5265) / 1
LCM(5246,5265) = 27620190 / 1
LCM(5246,5265) = 27620190

Least Common Multiple (LCM) of 5246 and 5265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5246 and 5265. First we will calculate the prime factors of 5246 and 5265.

Prime Factorization of 5246

Prime factors of 5246 are 2, 43, 61. Prime factorization of 5246 in exponential form is:

5246 = 21 × 431 × 611

Prime Factorization of 5265

Prime factors of 5265 are 3, 5, 13. Prime factorization of 5265 in exponential form is:

5265 = 34 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 5246 and 5265.

LCM(5246,5265) = 21 × 431 × 611 × 34 × 51 × 131
LCM(5246,5265) = 27620190