What is the Least Common Multiple of 56881 and 56899?
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 56881 and 56899 is 3236472019.
LCM(56881,56899) = 3236472019
Least Common Multiple of 56881 and 56899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56881 and 56899, than apply into the LCM equation.
GCF(56881,56899) = 1
LCM(56881,56899) = ( 56881 × 56899) / 1
LCM(56881,56899) = 3236472019 / 1
LCM(56881,56899) = 3236472019
Least Common Multiple (LCM) of 56881 and 56899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56881 and 56899. First we will calculate the prime factors of 56881 and 56899.
Prime Factorization of 56881
Prime factors of 56881 are 11, 5171. Prime factorization of 56881 in exponential form is:
56881 = 111 × 51711
Prime Factorization of 56899
Prime factors of 56899 are 17, 3347. Prime factorization of 56899 in exponential form is:
56899 = 171 × 33471
Now multiplying the highest exponent prime factors to calculate the LCM of 56881 and 56899.
LCM(56881,56899) = 111 × 51711 × 171 × 33471
LCM(56881,56899) = 3236472019
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