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What is the Least Common Multiple of 2961 and 2977?

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 2961 and 2977 is 8814897.

LCM(2961,2977) = 8814897

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Least Common Multiple of 2961 and 2977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2961 and 2977, than apply into the LCM equation.

GCF(2961,2977) = 1
LCM(2961,2977) = ( 2961 × 2977) / 1
LCM(2961,2977) = 8814897 / 1
LCM(2961,2977) = 8814897

Least Common Multiple (LCM) of 2961 and 2977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2961 and 2977. First we will calculate the prime factors of 2961 and 2977.

Prime Factorization of 2961

Prime factors of 2961 are 3, 7, 47. Prime factorization of 2961 in exponential form is:

2961 = 32 × 71 × 471

Prime Factorization of 2977

Prime factors of 2977 are 13, 229. Prime factorization of 2977 in exponential form is:

2977 = 131 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 2961 and 2977.

LCM(2961,2977) = 32 × 71 × 471 × 131 × 2291
LCM(2961,2977) = 8814897