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What is the Least Common Multiple of 54551 and 54562?

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 54551 and 54562 is 2976411662.

LCM(54551,54562) = 2976411662

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Least Common Multiple of 54551 and 54562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54551 and 54562, than apply into the LCM equation.

GCF(54551,54562) = 1
LCM(54551,54562) = ( 54551 × 54562) / 1
LCM(54551,54562) = 2976411662 / 1
LCM(54551,54562) = 2976411662

Least Common Multiple (LCM) of 54551 and 54562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54551 and 54562. First we will calculate the prime factors of 54551 and 54562.

Prime Factorization of 54551

Prime factors of 54551 are 7, 7793. Prime factorization of 54551 in exponential form is:

54551 = 71 × 77931

Prime Factorization of 54562

Prime factors of 54562 are 2, 27281. Prime factorization of 54562 in exponential form is:

54562 = 21 × 272811

Now multiplying the highest exponent prime factors to calculate the LCM of 54551 and 54562.

LCM(54551,54562) = 71 × 77931 × 21 × 272811
LCM(54551,54562) = 2976411662