What is the Least Common Multiple of 87911 and 87923?
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 87911 and 87923 is 7729398853.
LCM(87911,87923) = 7729398853
Least Common Multiple of 87911 and 87923 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87911 and 87923, than apply into the LCM equation.
GCF(87911,87923) = 1
LCM(87911,87923) = ( 87911 × 87923) / 1
LCM(87911,87923) = 7729398853 / 1
LCM(87911,87923) = 7729398853
Least Common Multiple (LCM) of 87911 and 87923 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87911 and 87923. First we will calculate the prime factors of 87911 and 87923.
Prime Factorization of 87911
Prime factors of 87911 are 87911. Prime factorization of 87911 in exponential form is:
87911 = 879111
Prime Factorization of 87923
Prime factors of 87923 are 11, 7993. Prime factorization of 87923 in exponential form is:
87923 = 111 × 79931
Now multiplying the highest exponent prime factors to calculate the LCM of 87911 and 87923.
LCM(87911,87923) = 879111 × 111 × 79931
LCM(87911,87923) = 7729398853
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