What is the Least Common Multiple of 97777 and 97781?
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 97781 is 9560732837.
LCM(97777,97781) = 9560732837
Least Common Multiple of 97777 and 97781 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 97781, than apply into the LCM equation.
GCF(97777,97781) = 1
LCM(97777,97781) = ( 97777 × 97781) / 1
LCM(97777,97781) = 9560732837 / 1
LCM(97777,97781) = 9560732837
Least Common Multiple (LCM) of 97777 and 97781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97777 and 97781. First we will calculate the prime factors of 97777 and 97781.
Prime Factorization of 97777
Prime factors of 97777 are 97777. Prime factorization of 97777 in exponential form is:
97777 = 977771
Prime Factorization of 97781
Prime factors of 97781 are 277, 353. Prime factorization of 97781 in exponential form is:
97781 = 2771 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 97777 and 97781.
LCM(97777,97781) = 977771 × 2771 × 3531
LCM(97777,97781) = 9560732837
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