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What is the Least Common Multiple of 9860 and 9877?

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 9860 and 9877 is 5728660.

LCM(9860,9877) = 5728660

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Least Common Multiple of 9860 and 9877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9860 and 9877, than apply into the LCM equation.

GCF(9860,9877) = 17
LCM(9860,9877) = ( 9860 × 9877) / 17
LCM(9860,9877) = 97387220 / 17
LCM(9860,9877) = 5728660

Least Common Multiple (LCM) of 9860 and 9877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9860 and 9877. First we will calculate the prime factors of 9860 and 9877.

Prime Factorization of 9860

Prime factors of 9860 are 2, 5, 17, 29. Prime factorization of 9860 in exponential form is:

9860 = 22 × 51 × 171 × 291

Prime Factorization of 9877

Prime factors of 9877 are 7, 17, 83. Prime factorization of 9877 in exponential form is:

9877 = 71 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 9860 and 9877.

LCM(9860,9877) = 22 × 51 × 171 × 291 × 71 × 831
LCM(9860,9877) = 5728660