What is the Least Common Multiple of 55102 and 55121?
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 55102 and 55121 is 3037277342.
LCM(55102,55121) = 3037277342
Least Common Multiple of 55102 and 55121 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55102 and 55121, than apply into the LCM equation.
GCF(55102,55121) = 1
LCM(55102,55121) = ( 55102 × 55121) / 1
LCM(55102,55121) = 3037277342 / 1
LCM(55102,55121) = 3037277342
Least Common Multiple (LCM) of 55102 and 55121 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55102 and 55121. First we will calculate the prime factors of 55102 and 55121.
Prime Factorization of 55102
Prime factors of 55102 are 2, 27551. Prime factorization of 55102 in exponential form is:
55102 = 21 × 275511
Prime Factorization of 55121
Prime factors of 55121 are 11, 5011. Prime factorization of 55121 in exponential form is:
55121 = 111 × 50111
Now multiplying the highest exponent prime factors to calculate the LCM of 55102 and 55121.
LCM(55102,55121) = 21 × 275511 × 111 × 50111
LCM(55102,55121) = 3037277342
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