What is the Least Common Multiple of 55189 and 55207?
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 55189 and 55207 is 3046819123.
LCM(55189,55207) = 3046819123
Least Common Multiple of 55189 and 55207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55189 and 55207, than apply into the LCM equation.
GCF(55189,55207) = 1
LCM(55189,55207) = ( 55189 × 55207) / 1
LCM(55189,55207) = 3046819123 / 1
LCM(55189,55207) = 3046819123
Least Common Multiple (LCM) of 55189 and 55207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55189 and 55207. First we will calculate the prime factors of 55189 and 55207.
Prime Factorization of 55189
Prime factors of 55189 are 229, 241. Prime factorization of 55189 in exponential form is:
55189 = 2291 × 2411
Prime Factorization of 55207
Prime factors of 55207 are 55207. Prime factorization of 55207 in exponential form is:
55207 = 552071
Now multiplying the highest exponent prime factors to calculate the LCM of 55189 and 55207.
LCM(55189,55207) = 2291 × 2411 × 552071
LCM(55189,55207) = 3046819123
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