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What is the Least Common Multiple of 8963 and 8973?

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 8963 and 8973 is 80424999.

LCM(8963,8973) = 80424999

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Least Common Multiple of 8963 and 8973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8963 and 8973, than apply into the LCM equation.

GCF(8963,8973) = 1
LCM(8963,8973) = ( 8963 × 8973) / 1
LCM(8963,8973) = 80424999 / 1
LCM(8963,8973) = 80424999

Least Common Multiple (LCM) of 8963 and 8973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8963 and 8973. First we will calculate the prime factors of 8963 and 8973.

Prime Factorization of 8963

Prime factors of 8963 are 8963. Prime factorization of 8963 in exponential form is:

8963 = 89631

Prime Factorization of 8973

Prime factors of 8973 are 3, 997. Prime factorization of 8973 in exponential form is:

8973 = 32 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 8963 and 8973.

LCM(8963,8973) = 89631 × 32 × 9971
LCM(8963,8973) = 80424999