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What is the Least Common Multiple of 54554 and 54563?

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 54554 and 54563 is 2976629902.

LCM(54554,54563) = 2976629902

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Least Common Multiple of 54554 and 54563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54554 and 54563, than apply into the LCM equation.

GCF(54554,54563) = 1
LCM(54554,54563) = ( 54554 × 54563) / 1
LCM(54554,54563) = 2976629902 / 1
LCM(54554,54563) = 2976629902

Least Common Multiple (LCM) of 54554 and 54563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54554 and 54563. First we will calculate the prime factors of 54554 and 54563.

Prime Factorization of 54554

Prime factors of 54554 are 2, 27277. Prime factorization of 54554 in exponential form is:

54554 = 21 × 272771

Prime Factorization of 54563

Prime factors of 54563 are 54563. Prime factorization of 54563 in exponential form is:

54563 = 545631

Now multiplying the highest exponent prime factors to calculate the LCM of 54554 and 54563.

LCM(54554,54563) = 21 × 272771 × 545631
LCM(54554,54563) = 2976629902