What is the Least Common Multiple of 97976 and 97993?
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 97976 and 97993 is 9600962168.
LCM(97976,97993) = 9600962168
Least Common Multiple of 97976 and 97993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97976 and 97993, than apply into the LCM equation.
GCF(97976,97993) = 1
LCM(97976,97993) = ( 97976 × 97993) / 1
LCM(97976,97993) = 9600962168 / 1
LCM(97976,97993) = 9600962168
Least Common Multiple (LCM) of 97976 and 97993 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97976 and 97993. First we will calculate the prime factors of 97976 and 97993.
Prime Factorization of 97976
Prime factors of 97976 are 2, 37, 331. Prime factorization of 97976 in exponential form is:
97976 = 23 × 371 × 3311
Prime Factorization of 97993
Prime factors of 97993 are 7, 13999. Prime factorization of 97993 in exponential form is:
97993 = 71 × 139991
Now multiplying the highest exponent prime factors to calculate the LCM of 97976 and 97993.
LCM(97976,97993) = 23 × 371 × 3311 × 71 × 139991
LCM(97976,97993) = 9600962168
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