What is the Least Common Multiple of 55807 and 55817?
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 55807 and 55817 is 3114979319.
LCM(55807,55817) = 3114979319
Least Common Multiple of 55807 and 55817 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55807 and 55817, than apply into the LCM equation.
GCF(55807,55817) = 1
LCM(55807,55817) = ( 55807 × 55817) / 1
LCM(55807,55817) = 3114979319 / 1
LCM(55807,55817) = 3114979319
Least Common Multiple (LCM) of 55807 and 55817 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55807 and 55817. First we will calculate the prime factors of 55807 and 55817.
Prime Factorization of 55807
Prime factors of 55807 are 55807. Prime factorization of 55807 in exponential form is:
55807 = 558071
Prime Factorization of 55817
Prime factors of 55817 are 55817. Prime factorization of 55817 in exponential form is:
55817 = 558171
Now multiplying the highest exponent prime factors to calculate the LCM of 55807 and 55817.
LCM(55807,55817) = 558071 × 558171
LCM(55807,55817) = 3114979319
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