What is the Least Common Multiple of 54544 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 54544 and 54563 is 2976084272.
LCM(54544,54563) = 2976084272
Least Common Multiple of 54544 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 54544 and 54563, than apply into the LCM equation.
GCF(54544,54563) = 1
LCM(54544,54563) = ( 54544 × 54563) / 1
LCM(54544,54563) = 2976084272 / 1
LCM(54544,54563) = 2976084272
Least Common Multiple (LCM) of 54544 and 54563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54544 and 54563. First we will calculate the prime factors of 54544 and 54563.
Prime Factorization of 54544
Prime factors of 54544 are 2, 7, 487. Prime factorization of 54544 in exponential form is:
54544 = 24 × 71 × 4871
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 54544 and 54563.
LCM(54544,54563) = 24 × 71 × 4871 × 545631
LCM(54544,54563) = 2976084272
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