What is the Least Common Multiple of 97787 and 97791?
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 97787 and 97791 is 9562688517.
LCM(97787,97791) = 9562688517
Least Common Multiple of 97787 and 97791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97787 and 97791, than apply into the LCM equation.
GCF(97787,97791) = 1
LCM(97787,97791) = ( 97787 × 97791) / 1
LCM(97787,97791) = 9562688517 / 1
LCM(97787,97791) = 9562688517
Least Common Multiple (LCM) of 97787 and 97791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97787 and 97791. First we will calculate the prime factors of 97787 and 97791.
Prime Factorization of 97787
Prime factors of 97787 are 97787. Prime factorization of 97787 in exponential form is:
97787 = 977871
Prime Factorization of 97791
Prime factors of 97791 are 3, 37, 881. Prime factorization of 97791 in exponential form is:
97791 = 31 × 371 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 97787 and 97791.
LCM(97787,97791) = 977871 × 31 × 371 × 8811
LCM(97787,97791) = 9562688517
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