What is the Least Common Multiple of 5563 and 5568?
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 5563 and 5568 is 30974784.
LCM(5563,5568) = 30974784
Least Common Multiple of 5563 and 5568 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5563 and 5568, than apply into the LCM equation.
GCF(5563,5568) = 1
LCM(5563,5568) = ( 5563 × 5568) / 1
LCM(5563,5568) = 30974784 / 1
LCM(5563,5568) = 30974784
Least Common Multiple (LCM) of 5563 and 5568 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5563 and 5568. First we will calculate the prime factors of 5563 and 5568.
Prime Factorization of 5563
Prime factors of 5563 are 5563. Prime factorization of 5563 in exponential form is:
5563 = 55631
Prime Factorization of 5568
Prime factors of 5568 are 2, 3, 29. Prime factorization of 5568 in exponential form is:
5568 = 26 × 31 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 5563 and 5568.
LCM(5563,5568) = 55631 × 26 × 31 × 291
LCM(5563,5568) = 30974784
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