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What is the Least Common Multiple of 2963 and 2971?

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 2963 and 2971 is 8803073.

LCM(2963,2971) = 8803073

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Least Common Multiple of 2963 and 2971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2963 and 2971, than apply into the LCM equation.

GCF(2963,2971) = 1
LCM(2963,2971) = ( 2963 × 2971) / 1
LCM(2963,2971) = 8803073 / 1
LCM(2963,2971) = 8803073

Least Common Multiple (LCM) of 2963 and 2971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2963 and 2971. First we will calculate the prime factors of 2963 and 2971.

Prime Factorization of 2963

Prime factors of 2963 are 2963. Prime factorization of 2963 in exponential form is:

2963 = 29631

Prime Factorization of 2971

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 2963 and 2971.

LCM(2963,2971) = 29631 × 29711
LCM(2963,2971) = 8803073