What is the Least Common Multiple of 97336 and 97351?
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 97336 and 97351 is 9475756936.
LCM(97336,97351) = 9475756936
Least Common Multiple of 97336 and 97351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97336 and 97351, than apply into the LCM equation.
GCF(97336,97351) = 1
LCM(97336,97351) = ( 97336 × 97351) / 1
LCM(97336,97351) = 9475756936 / 1
LCM(97336,97351) = 9475756936
Least Common Multiple (LCM) of 97336 and 97351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97336 and 97351. First we will calculate the prime factors of 97336 and 97351.
Prime Factorization of 97336
Prime factors of 97336 are 2, 23. Prime factorization of 97336 in exponential form is:
97336 = 23 × 233
Prime Factorization of 97351
Prime factors of 97351 are 67, 1453. Prime factorization of 97351 in exponential form is:
97351 = 671 × 14531
Now multiplying the highest exponent prime factors to calculate the LCM of 97336 and 97351.
LCM(97336,97351) = 23 × 233 × 671 × 14531
LCM(97336,97351) = 9475756936
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