What is the Least Common Multiple of 97062 and 97081?
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 97062 and 97081 is 9422876022.
LCM(97062,97081) = 9422876022
Least Common Multiple of 97062 and 97081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97062 and 97081, than apply into the LCM equation.
GCF(97062,97081) = 1
LCM(97062,97081) = ( 97062 × 97081) / 1
LCM(97062,97081) = 9422876022 / 1
LCM(97062,97081) = 9422876022
Least Common Multiple (LCM) of 97062 and 97081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97062 and 97081. First we will calculate the prime factors of 97062 and 97081.
Prime Factorization of 97062
Prime factors of 97062 are 2, 3, 7, 2311. Prime factorization of 97062 in exponential form is:
97062 = 21 × 31 × 71 × 23111
Prime Factorization of 97081
Prime factors of 97081 are 97081. Prime factorization of 97081 in exponential form is:
97081 = 970811
Now multiplying the highest exponent prime factors to calculate the LCM of 97062 and 97081.
LCM(97062,97081) = 21 × 31 × 71 × 23111 × 970811
LCM(97062,97081) = 9422876022
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