What is the Least Common Multiple of 56262 and 56281?
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 56262 and 56281 is 3166481622.
LCM(56262,56281) = 3166481622
Least Common Multiple of 56262 and 56281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56262 and 56281, than apply into the LCM equation.
GCF(56262,56281) = 1
LCM(56262,56281) = ( 56262 × 56281) / 1
LCM(56262,56281) = 3166481622 / 1
LCM(56262,56281) = 3166481622
Least Common Multiple (LCM) of 56262 and 56281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56262 and 56281. First we will calculate the prime factors of 56262 and 56281.
Prime Factorization of 56262
Prime factors of 56262 are 2, 3, 9377. Prime factorization of 56262 in exponential form is:
56262 = 21 × 31 × 93771
Prime Factorization of 56281
Prime factors of 56281 are 23, 2447. Prime factorization of 56281 in exponential form is:
56281 = 231 × 24471
Now multiplying the highest exponent prime factors to calculate the LCM of 56262 and 56281.
LCM(56262,56281) = 21 × 31 × 93771 × 231 × 24471
LCM(56262,56281) = 3166481622
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