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What is the Least Common Multiple of 54669 and 54682?

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 54669 and 54682 is 2989410258.

LCM(54669,54682) = 2989410258

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Least Common Multiple of 54669 and 54682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54669 and 54682, than apply into the LCM equation.

GCF(54669,54682) = 1
LCM(54669,54682) = ( 54669 × 54682) / 1
LCM(54669,54682) = 2989410258 / 1
LCM(54669,54682) = 2989410258

Least Common Multiple (LCM) of 54669 and 54682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54669 and 54682. First we will calculate the prime factors of 54669 and 54682.

Prime Factorization of 54669

Prime factors of 54669 are 3, 18223. Prime factorization of 54669 in exponential form is:

54669 = 31 × 182231

Prime Factorization of 54682

Prime factors of 54682 are 2, 19, 1439. Prime factorization of 54682 in exponential form is:

54682 = 21 × 191 × 14391

Now multiplying the highest exponent prime factors to calculate the LCM of 54669 and 54682.

LCM(54669,54682) = 31 × 182231 × 21 × 191 × 14391
LCM(54669,54682) = 2989410258