What is the Least Common Multiple of 55147 and 55151?
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 55147 and 55151 is 3041412197.
LCM(55147,55151) = 3041412197
Least Common Multiple of 55147 and 55151 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55147 and 55151, than apply into the LCM equation.
GCF(55147,55151) = 1
LCM(55147,55151) = ( 55147 × 55151) / 1
LCM(55147,55151) = 3041412197 / 1
LCM(55147,55151) = 3041412197
Least Common Multiple (LCM) of 55147 and 55151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55147 and 55151. First we will calculate the prime factors of 55147 and 55151.
Prime Factorization of 55147
Prime factors of 55147 are 55147. Prime factorization of 55147 in exponential form is:
55147 = 551471
Prime Factorization of 55151
Prime factors of 55151 are 131, 421. Prime factorization of 55151 in exponential form is:
55151 = 1311 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 55147 and 55151.
LCM(55147,55151) = 551471 × 1311 × 4211
LCM(55147,55151) = 3041412197
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