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What is the Least Common Multiple of 7641 and 7648?

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 7641 and 7648 is 58438368.

LCM(7641,7648) = 58438368

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Least Common Multiple of 7641 and 7648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7641 and 7648, than apply into the LCM equation.

GCF(7641,7648) = 1
LCM(7641,7648) = ( 7641 × 7648) / 1
LCM(7641,7648) = 58438368 / 1
LCM(7641,7648) = 58438368

Least Common Multiple (LCM) of 7641 and 7648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7641 and 7648. First we will calculate the prime factors of 7641 and 7648.

Prime Factorization of 7641

Prime factors of 7641 are 3, 283. Prime factorization of 7641 in exponential form is:

7641 = 33 × 2831

Prime Factorization of 7648

Prime factors of 7648 are 2, 239. Prime factorization of 7648 in exponential form is:

7648 = 25 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7641 and 7648.

LCM(7641,7648) = 33 × 2831 × 25 × 2391
LCM(7641,7648) = 58438368