What is the Least Common Multiple of 87959 and 87977?
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 87959 and 87977 is 7738368943.
LCM(87959,87977) = 7738368943
Least Common Multiple of 87959 and 87977 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87959 and 87977, than apply into the LCM equation.
GCF(87959,87977) = 1
LCM(87959,87977) = ( 87959 × 87977) / 1
LCM(87959,87977) = 7738368943 / 1
LCM(87959,87977) = 7738368943
Least Common Multiple (LCM) of 87959 and 87977 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87959 and 87977. First we will calculate the prime factors of 87959 and 87977.
Prime Factorization of 87959
Prime factors of 87959 are 87959. Prime factorization of 87959 in exponential form is:
87959 = 879591
Prime Factorization of 87977
Prime factors of 87977 are 87977. Prime factorization of 87977 in exponential form is:
87977 = 879771
Now multiplying the highest exponent prime factors to calculate the LCM of 87959 and 87977.
LCM(87959,87977) = 879591 × 879771
LCM(87959,87977) = 7738368943
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