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What is the Least Common Multiple of 8642 and 8661?

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 8642 and 8661 is 74848362.

LCM(8642,8661) = 74848362

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Least Common Multiple of 8642 and 8661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8642 and 8661, than apply into the LCM equation.

GCF(8642,8661) = 1
LCM(8642,8661) = ( 8642 × 8661) / 1
LCM(8642,8661) = 74848362 / 1
LCM(8642,8661) = 74848362

Least Common Multiple (LCM) of 8642 and 8661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8642 and 8661. First we will calculate the prime factors of 8642 and 8661.

Prime Factorization of 8642

Prime factors of 8642 are 2, 29, 149. Prime factorization of 8642 in exponential form is:

8642 = 21 × 291 × 1491

Prime Factorization of 8661

Prime factors of 8661 are 3, 2887. Prime factorization of 8661 in exponential form is:

8661 = 31 × 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 8642 and 8661.

LCM(8642,8661) = 21 × 291 × 1491 × 31 × 28871
LCM(8642,8661) = 74848362