What is the Least Common Multiple of 55151 and 55169?
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 55151 and 55169 is 3042625519.
LCM(55151,55169) = 3042625519
Least Common Multiple of 55151 and 55169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55151 and 55169, than apply into the LCM equation.
GCF(55151,55169) = 1
LCM(55151,55169) = ( 55151 × 55169) / 1
LCM(55151,55169) = 3042625519 / 1
LCM(55151,55169) = 3042625519
Least Common Multiple (LCM) of 55151 and 55169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55151 and 55169. First we will calculate the prime factors of 55151 and 55169.
Prime Factorization of 55151
Prime factors of 55151 are 131, 421. Prime factorization of 55151 in exponential form is:
55151 = 1311 × 4211
Prime Factorization of 55169
Prime factors of 55169 are 43, 1283. Prime factorization of 55169 in exponential form is:
55169 = 431 × 12831
Now multiplying the highest exponent prime factors to calculate the LCM of 55151 and 55169.
LCM(55151,55169) = 1311 × 4211 × 431 × 12831
LCM(55151,55169) = 3042625519
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