What is the Least Common Multiple of 55787 and 55793?
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 55787 and 55793 is 3112524091.
LCM(55787,55793) = 3112524091
Least Common Multiple of 55787 and 55793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55787 and 55793, than apply into the LCM equation.
GCF(55787,55793) = 1
LCM(55787,55793) = ( 55787 × 55793) / 1
LCM(55787,55793) = 3112524091 / 1
LCM(55787,55793) = 3112524091
Least Common Multiple (LCM) of 55787 and 55793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55787 and 55793. First we will calculate the prime factors of 55787 and 55793.
Prime Factorization of 55787
Prime factors of 55787 are 55787. Prime factorization of 55787 in exponential form is:
55787 = 557871
Prime Factorization of 55793
Prime factors of 55793 are 55793. Prime factorization of 55793 in exponential form is:
55793 = 557931
Now multiplying the highest exponent prime factors to calculate the LCM of 55787 and 55793.
LCM(55787,55793) = 557871 × 557931
LCM(55787,55793) = 3112524091
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