What is the Least Common Multiple of 71555 and 71563?
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 71555 and 71563 is 5120690465.
LCM(71555,71563) = 5120690465
Least Common Multiple of 71555 and 71563 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71555 and 71563, than apply into the LCM equation.
GCF(71555,71563) = 1
LCM(71555,71563) = ( 71555 × 71563) / 1
LCM(71555,71563) = 5120690465 / 1
LCM(71555,71563) = 5120690465
Least Common Multiple (LCM) of 71555 and 71563 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71555 and 71563. First we will calculate the prime factors of 71555 and 71563.
Prime Factorization of 71555
Prime factors of 71555 are 5, 11, 1301. Prime factorization of 71555 in exponential form is:
71555 = 51 × 111 × 13011
Prime Factorization of 71563
Prime factors of 71563 are 71563. Prime factorization of 71563 in exponential form is:
71563 = 715631
Now multiplying the highest exponent prime factors to calculate the LCM of 71555 and 71563.
LCM(71555,71563) = 51 × 111 × 13011 × 715631
LCM(71555,71563) = 5120690465
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