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What is the Least Common Multiple of 9974 and 9985?

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 9974 and 9985 is 99590390.

LCM(9974,9985) = 99590390

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Least Common Multiple of 9974 and 9985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9974 and 9985, than apply into the LCM equation.

GCF(9974,9985) = 1
LCM(9974,9985) = ( 9974 × 9985) / 1
LCM(9974,9985) = 99590390 / 1
LCM(9974,9985) = 99590390

Least Common Multiple (LCM) of 9974 and 9985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9974 and 9985. First we will calculate the prime factors of 9974 and 9985.

Prime Factorization of 9974

Prime factors of 9974 are 2, 4987. Prime factorization of 9974 in exponential form is:

9974 = 21 × 49871

Prime Factorization of 9985

Prime factors of 9985 are 5, 1997. Prime factorization of 9985 in exponential form is:

9985 = 51 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 9974 and 9985.

LCM(9974,9985) = 21 × 49871 × 51 × 19971
LCM(9974,9985) = 99590390