What is the Least Common Multiple of 55726 and 55743?
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 55726 and 55743 is 182725554.
LCM(55726,55743) = 182725554
Least Common Multiple of 55726 and 55743 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55726 and 55743, than apply into the LCM equation.
GCF(55726,55743) = 17
LCM(55726,55743) = ( 55726 × 55743) / 17
LCM(55726,55743) = 3106334418 / 17
LCM(55726,55743) = 182725554
Least Common Multiple (LCM) of 55726 and 55743 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55726 and 55743. First we will calculate the prime factors of 55726 and 55743.
Prime Factorization of 55726
Prime factors of 55726 are 2, 11, 17, 149. Prime factorization of 55726 in exponential form is:
55726 = 21 × 111 × 171 × 1491
Prime Factorization of 55743
Prime factors of 55743 are 3, 17, 1093. Prime factorization of 55743 in exponential form is:
55743 = 31 × 171 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 55726 and 55743.
LCM(55726,55743) = 21 × 111 × 171 × 1491 × 31 × 10931
LCM(55726,55743) = 182725554
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