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What is the Least Common Multiple of 9961 and 9973?

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 9961 and 9973 is 99341053.

LCM(9961,9973) = 99341053

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Least Common Multiple of 9961 and 9973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9961 and 9973, than apply into the LCM equation.

GCF(9961,9973) = 1
LCM(9961,9973) = ( 9961 × 9973) / 1
LCM(9961,9973) = 99341053 / 1
LCM(9961,9973) = 99341053

Least Common Multiple (LCM) of 9961 and 9973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9961 and 9973. First we will calculate the prime factors of 9961 and 9973.

Prime Factorization of 9961

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

9961 = 71 × 14231

Prime Factorization of 9973

Prime factors of 9973 are 9973. Prime factorization of 9973 in exponential form is:

9973 = 99731

Now multiplying the highest exponent prime factors to calculate the LCM of 9961 and 9973.

LCM(9961,9973) = 71 × 14231 × 99731
LCM(9961,9973) = 99341053