What is the Least Common Multiple of 55562 and 55571?
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 55562 and 55571 is 3087635902.
LCM(55562,55571) = 3087635902
Least Common Multiple of 55562 and 55571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55562 and 55571, than apply into the LCM equation.
GCF(55562,55571) = 1
LCM(55562,55571) = ( 55562 × 55571) / 1
LCM(55562,55571) = 3087635902 / 1
LCM(55562,55571) = 3087635902
Least Common Multiple (LCM) of 55562 and 55571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55562 and 55571. First we will calculate the prime factors of 55562 and 55571.
Prime Factorization of 55562
Prime factors of 55562 are 2, 13, 2137. Prime factorization of 55562 in exponential form is:
55562 = 21 × 131 × 21371
Prime Factorization of 55571
Prime factors of 55571 are 61, 911. Prime factorization of 55571 in exponential form is:
55571 = 611 × 9111
Now multiplying the highest exponent prime factors to calculate the LCM of 55562 and 55571.
LCM(55562,55571) = 21 × 131 × 21371 × 611 × 9111
LCM(55562,55571) = 3087635902
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