What is the Least Common Multiple of 55207 and 55223?
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 55207 and 55223 is 3048696161.
LCM(55207,55223) = 3048696161
Least Common Multiple of 55207 and 55223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55207 and 55223, than apply into the LCM equation.
GCF(55207,55223) = 1
LCM(55207,55223) = ( 55207 × 55223) / 1
LCM(55207,55223) = 3048696161 / 1
LCM(55207,55223) = 3048696161
Least Common Multiple (LCM) of 55207 and 55223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55207 and 55223. First we will calculate the prime factors of 55207 and 55223.
Prime Factorization of 55207
Prime factors of 55207 are 55207. Prime factorization of 55207 in exponential form is:
55207 = 552071
Prime Factorization of 55223
Prime factors of 55223 are 7, 23. Prime factorization of 55223 in exponential form is:
55223 = 74 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 55207 and 55223.
LCM(55207,55223) = 552071 × 74 × 231
LCM(55207,55223) = 3048696161
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