What is the Least Common Multiple of 97391 and 97396?
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 97391 and 97396 is 9485493836.
LCM(97391,97396) = 9485493836
Least Common Multiple of 97391 and 97396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97391 and 97396, than apply into the LCM equation.
GCF(97391,97396) = 1
LCM(97391,97396) = ( 97391 × 97396) / 1
LCM(97391,97396) = 9485493836 / 1
LCM(97391,97396) = 9485493836
Least Common Multiple (LCM) of 97391 and 97396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97391 and 97396. First we will calculate the prime factors of 97391 and 97396.
Prime Factorization of 97391
Prime factors of 97391 are 7, 13913. Prime factorization of 97391 in exponential form is:
97391 = 71 × 139131
Prime Factorization of 97396
Prime factors of 97396 are 2, 13, 1873. Prime factorization of 97396 in exponential form is:
97396 = 22 × 131 × 18731
Now multiplying the highest exponent prime factors to calculate the LCM of 97391 and 97396.
LCM(97391,97396) = 71 × 139131 × 22 × 131 × 18731
LCM(97391,97396) = 9485493836
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