What is the Least Common Multiple of 55691 and 55711?
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 55691 and 55711 is 3102601301.
LCM(55691,55711) = 3102601301
Least Common Multiple of 55691 and 55711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55691 and 55711, than apply into the LCM equation.
GCF(55691,55711) = 1
LCM(55691,55711) = ( 55691 × 55711) / 1
LCM(55691,55711) = 3102601301 / 1
LCM(55691,55711) = 3102601301
Least Common Multiple (LCM) of 55691 and 55711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55691 and 55711. First we will calculate the prime factors of 55691 and 55711.
Prime Factorization of 55691
Prime factors of 55691 are 55691. Prime factorization of 55691 in exponential form is:
55691 = 556911
Prime Factorization of 55711
Prime factors of 55711 are 55711. Prime factorization of 55711 in exponential form is:
55711 = 557111
Now multiplying the highest exponent prime factors to calculate the LCM of 55691 and 55711.
LCM(55691,55711) = 556911 × 557111
LCM(55691,55711) = 3102601301
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