What is the Least Common Multiple of 55228 and 55233?
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 55228 and 55233 is 3050408124.
LCM(55228,55233) = 3050408124
Least Common Multiple of 55228 and 55233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55228 and 55233, than apply into the LCM equation.
GCF(55228,55233) = 1
LCM(55228,55233) = ( 55228 × 55233) / 1
LCM(55228,55233) = 3050408124 / 1
LCM(55228,55233) = 3050408124
Least Common Multiple (LCM) of 55228 and 55233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55228 and 55233. First we will calculate the prime factors of 55228 and 55233.
Prime Factorization of 55228
Prime factors of 55228 are 2, 13807. Prime factorization of 55228 in exponential form is:
55228 = 22 × 138071
Prime Factorization of 55233
Prime factors of 55233 are 3, 17, 19. Prime factorization of 55233 in exponential form is:
55233 = 32 × 171 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 55228 and 55233.
LCM(55228,55233) = 22 × 138071 × 32 × 171 × 192
LCM(55228,55233) = 3050408124
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