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What is the Least Common Multiple of 9949 and 9961?

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 9949 and 9961 is 99101989.

LCM(9949,9961) = 99101989

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Least Common Multiple of 9949 and 9961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9949 and 9961, than apply into the LCM equation.

GCF(9949,9961) = 1
LCM(9949,9961) = ( 9949 × 9961) / 1
LCM(9949,9961) = 99101989 / 1
LCM(9949,9961) = 99101989

Least Common Multiple (LCM) of 9949 and 9961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9949 and 9961. First we will calculate the prime factors of 9949 and 9961.

Prime Factorization of 9949

Prime factors of 9949 are 9949. Prime factorization of 9949 in exponential form is:

9949 = 99491

Prime Factorization of 9961

Prime factors of 9961 are 7, 1423. Prime factorization of 9961 in exponential form is:

9961 = 71 × 14231

Now multiplying the highest exponent prime factors to calculate the LCM of 9949 and 9961.

LCM(9949,9961) = 99491 × 71 × 14231
LCM(9949,9961) = 99101989