What is the Least Common Multiple of 55083 and 55102?
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 55083 and 55102 is 3035183466.
LCM(55083,55102) = 3035183466
Least Common Multiple of 55083 and 55102 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55083 and 55102, than apply into the LCM equation.
GCF(55083,55102) = 1
LCM(55083,55102) = ( 55083 × 55102) / 1
LCM(55083,55102) = 3035183466 / 1
LCM(55083,55102) = 3035183466
Least Common Multiple (LCM) of 55083 and 55102 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55083 and 55102. First we will calculate the prime factors of 55083 and 55102.
Prime Factorization of 55083
Prime factors of 55083 are 3, 7, 43, 61. Prime factorization of 55083 in exponential form is:
55083 = 31 × 71 × 431 × 611
Prime Factorization of 55102
Prime factors of 55102 are 2, 27551. Prime factorization of 55102 in exponential form is:
55102 = 21 × 275511
Now multiplying the highest exponent prime factors to calculate the LCM of 55083 and 55102.
LCM(55083,55102) = 31 × 71 × 431 × 611 × 21 × 275511
LCM(55083,55102) = 3035183466
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