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What is the Least Common Multiple of 48679 and 48697?

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 48679 and 48697 is 2370521263.

LCM(48679,48697) = 2370521263

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Least Common Multiple of 48679 and 48697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48679 and 48697, than apply into the LCM equation.

GCF(48679,48697) = 1
LCM(48679,48697) = ( 48679 × 48697) / 1
LCM(48679,48697) = 2370521263 / 1
LCM(48679,48697) = 2370521263

Least Common Multiple (LCM) of 48679 and 48697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48679 and 48697. First we will calculate the prime factors of 48679 and 48697.

Prime Factorization of 48679

Prime factors of 48679 are 48679. Prime factorization of 48679 in exponential form is:

48679 = 486791

Prime Factorization of 48697

Prime factors of 48697 are 11, 19, 233. Prime factorization of 48697 in exponential form is:

48697 = 111 × 191 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 48679 and 48697.

LCM(48679,48697) = 486791 × 111 × 191 × 2331
LCM(48679,48697) = 2370521263