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What is the Least Common Multiple of 1658 and 1676?

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 1658 and 1676 is 1389404.

LCM(1658,1676) = 1389404

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Least Common Multiple of 1658 and 1676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1658 and 1676, than apply into the LCM equation.

GCF(1658,1676) = 2
LCM(1658,1676) = ( 1658 × 1676) / 2
LCM(1658,1676) = 2778808 / 2
LCM(1658,1676) = 1389404

Least Common Multiple (LCM) of 1658 and 1676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1658 and 1676. First we will calculate the prime factors of 1658 and 1676.

Prime Factorization of 1658

Prime factors of 1658 are 2, 829. Prime factorization of 1658 in exponential form is:

1658 = 21 × 8291

Prime Factorization of 1676

Prime factors of 1676 are 2, 419. Prime factorization of 1676 in exponential form is:

1676 = 22 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 1658 and 1676.

LCM(1658,1676) = 22 × 8291 × 4191
LCM(1658,1676) = 1389404