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What is the Least Common Multiple of 9638 and 9648?

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 9638 and 9648 is 46493712.

LCM(9638,9648) = 46493712

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Least Common Multiple of 9638 and 9648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9638 and 9648, than apply into the LCM equation.

GCF(9638,9648) = 2
LCM(9638,9648) = ( 9638 × 9648) / 2
LCM(9638,9648) = 92987424 / 2
LCM(9638,9648) = 46493712

Least Common Multiple (LCM) of 9638 and 9648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9638 and 9648. First we will calculate the prime factors of 9638 and 9648.

Prime Factorization of 9638

Prime factors of 9638 are 2, 61, 79. Prime factorization of 9638 in exponential form is:

9638 = 21 × 611 × 791

Prime Factorization of 9648

Prime factors of 9648 are 2, 3, 67. Prime factorization of 9648 in exponential form is:

9648 = 24 × 32 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 9638 and 9648.

LCM(9638,9648) = 24 × 611 × 791 × 32 × 671
LCM(9638,9648) = 46493712