What is the Least Common Multiple of 55145 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 55145 and 55151 is 3041301895.
LCM(55145,55151) = 3041301895
Least Common Multiple of 55145 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 55145 and 55151, than apply into the LCM equation.
GCF(55145,55151) = 1
LCM(55145,55151) = ( 55145 × 55151) / 1
LCM(55145,55151) = 3041301895 / 1
LCM(55145,55151) = 3041301895
Least Common Multiple (LCM) of 55145 and 55151 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55145 and 55151. First we will calculate the prime factors of 55145 and 55151.
Prime Factorization of 55145
Prime factors of 55145 are 5, 41, 269. Prime factorization of 55145 in exponential form is:
55145 = 51 × 411 × 2691
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 55145 and 55151.
LCM(55145,55151) = 51 × 411 × 2691 × 1311 × 4211
LCM(55145,55151) = 3041301895
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