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What is the Least Common Multiple of 16977 and 16986?

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 16977 and 16986 is 96123774.

LCM(16977,16986) = 96123774

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Least Common Multiple of 16977 and 16986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16977 and 16986, than apply into the LCM equation.

GCF(16977,16986) = 3
LCM(16977,16986) = ( 16977 × 16986) / 3
LCM(16977,16986) = 288371322 / 3
LCM(16977,16986) = 96123774

Least Common Multiple (LCM) of 16977 and 16986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16977 and 16986. First we will calculate the prime factors of 16977 and 16986.

Prime Factorization of 16977

Prime factors of 16977 are 3, 5659. Prime factorization of 16977 in exponential form is:

16977 = 31 × 56591

Prime Factorization of 16986

Prime factors of 16986 are 2, 3, 19, 149. Prime factorization of 16986 in exponential form is:

16986 = 21 × 31 × 191 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 16977 and 16986.

LCM(16977,16986) = 31 × 56591 × 21 × 191 × 1491
LCM(16977,16986) = 96123774