What is the Least Common Multiple of 97927 and 97935?
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 97927 and 97935 is 9590480745.
LCM(97927,97935) = 9590480745
Least Common Multiple of 97927 and 97935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97927 and 97935, than apply into the LCM equation.
GCF(97927,97935) = 1
LCM(97927,97935) = ( 97927 × 97935) / 1
LCM(97927,97935) = 9590480745 / 1
LCM(97927,97935) = 9590480745
Least Common Multiple (LCM) of 97927 and 97935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97927 and 97935. First we will calculate the prime factors of 97927 and 97935.
Prime Factorization of 97927
Prime factors of 97927 are 97927. Prime factorization of 97927 in exponential form is:
97927 = 979271
Prime Factorization of 97935
Prime factors of 97935 are 3, 5, 6529. Prime factorization of 97935 in exponential form is:
97935 = 31 × 51 × 65291
Now multiplying the highest exponent prime factors to calculate the LCM of 97927 and 97935.
LCM(97927,97935) = 979271 × 31 × 51 × 65291
LCM(97927,97935) = 9590480745
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