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What is the Least Common Multiple of 9643 and 9652?

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 9643 and 9652 is 93074236.

LCM(9643,9652) = 93074236

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Least Common Multiple of 9643 and 9652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9643 and 9652, than apply into the LCM equation.

GCF(9643,9652) = 1
LCM(9643,9652) = ( 9643 × 9652) / 1
LCM(9643,9652) = 93074236 / 1
LCM(9643,9652) = 93074236

Least Common Multiple (LCM) of 9643 and 9652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9643 and 9652. First we will calculate the prime factors of 9643 and 9652.

Prime Factorization of 9643

Prime factors of 9643 are 9643. Prime factorization of 9643 in exponential form is:

9643 = 96431

Prime Factorization of 9652

Prime factors of 9652 are 2, 19, 127. Prime factorization of 9652 in exponential form is:

9652 = 22 × 191 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9643 and 9652.

LCM(9643,9652) = 96431 × 22 × 191 × 1271
LCM(9643,9652) = 93074236