What is the Least Common Multiple of 55217 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 55217 and 55223 is 3049248391.
LCM(55217,55223) = 3049248391
Least Common Multiple of 55217 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 55217 and 55223, than apply into the LCM equation.
GCF(55217,55223) = 1
LCM(55217,55223) = ( 55217 × 55223) / 1
LCM(55217,55223) = 3049248391 / 1
LCM(55217,55223) = 3049248391
Least Common Multiple (LCM) of 55217 and 55223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55217 and 55223. First we will calculate the prime factors of 55217 and 55223.
Prime Factorization of 55217
Prime factors of 55217 are 55217. Prime factorization of 55217 in exponential form is:
55217 = 552171
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 55217 and 55223.
LCM(55217,55223) = 552171 × 74 × 231
LCM(55217,55223) = 3049248391
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