What is the Least Common Multiple of 5552 and 5570?
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 5552 and 5570 is 15462320.
LCM(5552,5570) = 15462320
Least Common Multiple of 5552 and 5570 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5552 and 5570, than apply into the LCM equation.
GCF(5552,5570) = 2
LCM(5552,5570) = ( 5552 × 5570) / 2
LCM(5552,5570) = 30924640 / 2
LCM(5552,5570) = 15462320
Least Common Multiple (LCM) of 5552 and 5570 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5552 and 5570. First we will calculate the prime factors of 5552 and 5570.
Prime Factorization of 5552
Prime factors of 5552 are 2, 347. Prime factorization of 5552 in exponential form is:
5552 = 24 × 3471
Prime Factorization of 5570
Prime factors of 5570 are 2, 5, 557. Prime factorization of 5570 in exponential form is:
5570 = 21 × 51 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 5552 and 5570.
LCM(5552,5570) = 24 × 3471 × 51 × 5571
LCM(5552,5570) = 15462320
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