What is the Least Common Multiple of 97777 and 97794?
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 97777 and 97794 is 9562003938.
LCM(97777,97794) = 9562003938
Least Common Multiple of 97777 and 97794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97777 and 97794, than apply into the LCM equation.
GCF(97777,97794) = 1
LCM(97777,97794) = ( 97777 × 97794) / 1
LCM(97777,97794) = 9562003938 / 1
LCM(97777,97794) = 9562003938
Least Common Multiple (LCM) of 97777 and 97794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97777 and 97794. First we will calculate the prime factors of 97777 and 97794.
Prime Factorization of 97777
Prime factors of 97777 are 97777. Prime factorization of 97777 in exponential form is:
97777 = 977771
Prime Factorization of 97794
Prime factors of 97794 are 2, 3, 1811. Prime factorization of 97794 in exponential form is:
97794 = 21 × 33 × 18111
Now multiplying the highest exponent prime factors to calculate the LCM of 97777 and 97794.
LCM(97777,97794) = 977771 × 21 × 33 × 18111
LCM(97777,97794) = 9562003938
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