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What is the Least Common Multiple of 54687 and 54702?

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 54687 and 54702 is 997162758.

LCM(54687,54702) = 997162758

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Least Common Multiple of 54687 and 54702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54687 and 54702, than apply into the LCM equation.

GCF(54687,54702) = 3
LCM(54687,54702) = ( 54687 × 54702) / 3
LCM(54687,54702) = 2991488274 / 3
LCM(54687,54702) = 997162758

Least Common Multiple (LCM) of 54687 and 54702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54687 and 54702. First we will calculate the prime factors of 54687 and 54702.

Prime Factorization of 54687

Prime factors of 54687 are 3, 18229. Prime factorization of 54687 in exponential form is:

54687 = 31 × 182291

Prime Factorization of 54702

Prime factors of 54702 are 2, 3, 1013. Prime factorization of 54702 in exponential form is:

54702 = 21 × 33 × 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 54687 and 54702.

LCM(54687,54702) = 33 × 182291 × 21 × 10131
LCM(54687,54702) = 997162758