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What is the Least Common Multiple of 58648 and 58656?

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 58648 and 58656 is 430007136.

LCM(58648,58656) = 430007136

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Least Common Multiple of 58648 and 58656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58648 and 58656, than apply into the LCM equation.

GCF(58648,58656) = 8
LCM(58648,58656) = ( 58648 × 58656) / 8
LCM(58648,58656) = 3440057088 / 8
LCM(58648,58656) = 430007136

Least Common Multiple (LCM) of 58648 and 58656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58648 and 58656. First we will calculate the prime factors of 58648 and 58656.

Prime Factorization of 58648

Prime factors of 58648 are 2, 7331. Prime factorization of 58648 in exponential form is:

58648 = 23 × 73311

Prime Factorization of 58656

Prime factors of 58656 are 2, 3, 13, 47. Prime factorization of 58656 in exponential form is:

58656 = 25 × 31 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 58648 and 58656.

LCM(58648,58656) = 25 × 73311 × 31 × 131 × 471
LCM(58648,58656) = 430007136