What is the Least Common Multiple of 55847 and 55861?
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 55847 and 55861 is 3119669267.
LCM(55847,55861) = 3119669267
Least Common Multiple of 55847 and 55861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55847 and 55861, than apply into the LCM equation.
GCF(55847,55861) = 1
LCM(55847,55861) = ( 55847 × 55861) / 1
LCM(55847,55861) = 3119669267 / 1
LCM(55847,55861) = 3119669267
Least Common Multiple (LCM) of 55847 and 55861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55847 and 55861. First we will calculate the prime factors of 55847 and 55861.
Prime Factorization of 55847
Prime factors of 55847 are 11, 5077. Prime factorization of 55847 in exponential form is:
55847 = 111 × 50771
Prime Factorization of 55861
Prime factors of 55861 are 13, 4297. Prime factorization of 55861 in exponential form is:
55861 = 131 × 42971
Now multiplying the highest exponent prime factors to calculate the LCM of 55847 and 55861.
LCM(55847,55861) = 111 × 50771 × 131 × 42971
LCM(55847,55861) = 3119669267
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