What is the Least Common Multiple of 55129 and 55138?
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 55129 and 55138 is 3039702802.
LCM(55129,55138) = 3039702802
Least Common Multiple of 55129 and 55138 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55129 and 55138, than apply into the LCM equation.
GCF(55129,55138) = 1
LCM(55129,55138) = ( 55129 × 55138) / 1
LCM(55129,55138) = 3039702802 / 1
LCM(55129,55138) = 3039702802
Least Common Multiple (LCM) of 55129 and 55138 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55129 and 55138. First we will calculate the prime factors of 55129 and 55138.
Prime Factorization of 55129
Prime factors of 55129 are 29, 1901. Prime factorization of 55129 in exponential form is:
55129 = 291 × 19011
Prime Factorization of 55138
Prime factors of 55138 are 2, 19, 1451. Prime factorization of 55138 in exponential form is:
55138 = 21 × 191 × 14511
Now multiplying the highest exponent prime factors to calculate the LCM of 55129 and 55138.
LCM(55129,55138) = 291 × 19011 × 21 × 191 × 14511
LCM(55129,55138) = 3039702802
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