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What is the Least Common Multiple of 9954 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 9954 and 9961 is 14164542.

LCM(9954,9961) = 14164542

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Least Common Multiple of 9954 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 9954 and 9961, than apply into the LCM equation.

GCF(9954,9961) = 7
LCM(9954,9961) = ( 9954 × 9961) / 7
LCM(9954,9961) = 99151794 / 7
LCM(9954,9961) = 14164542

Least Common Multiple (LCM) of 9954 and 9961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9954 and 9961. First we will calculate the prime factors of 9954 and 9961.

Prime Factorization of 9954

Prime factors of 9954 are 2, 3, 7, 79. Prime factorization of 9954 in exponential form is:

9954 = 21 × 32 × 71 × 791

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 9954 and 9961.

LCM(9954,9961) = 21 × 32 × 71 × 791 × 14231
LCM(9954,9961) = 14164542