What is the Least Common Multiple of 55726 and 55744?
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 55744 is 1553195072.
LCM(55726,55744) = 1553195072
Least Common Multiple of 55726 and 55744 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 55744, than apply into the LCM equation.
GCF(55726,55744) = 2
LCM(55726,55744) = ( 55726 × 55744) / 2
LCM(55726,55744) = 3106390144 / 2
LCM(55726,55744) = 1553195072
Least Common Multiple (LCM) of 55726 and 55744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55726 and 55744. First we will calculate the prime factors of 55726 and 55744.
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 55744
Prime factors of 55744 are 2, 13, 67. Prime factorization of 55744 in exponential form is:
55744 = 26 × 131 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 55726 and 55744.
LCM(55726,55744) = 26 × 111 × 171 × 1491 × 131 × 671
LCM(55726,55744) = 1553195072
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