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What is the Least Common Multiple of 9880 and 9886?

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 9880 and 9886 is 48836840.

LCM(9880,9886) = 48836840

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Least Common Multiple of 9880 and 9886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9880 and 9886, than apply into the LCM equation.

GCF(9880,9886) = 2
LCM(9880,9886) = ( 9880 × 9886) / 2
LCM(9880,9886) = 97673680 / 2
LCM(9880,9886) = 48836840

Least Common Multiple (LCM) of 9880 and 9886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9880 and 9886. First we will calculate the prime factors of 9880 and 9886.

Prime Factorization of 9880

Prime factors of 9880 are 2, 5, 13, 19. Prime factorization of 9880 in exponential form is:

9880 = 23 × 51 × 131 × 191

Prime Factorization of 9886

Prime factors of 9886 are 2, 4943. Prime factorization of 9886 in exponential form is:

9886 = 21 × 49431

Now multiplying the highest exponent prime factors to calculate the LCM of 9880 and 9886.

LCM(9880,9886) = 23 × 51 × 131 × 191 × 49431
LCM(9880,9886) = 48836840