What is the Least Common Multiple of 91517 and 91535?
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 91517 and 91535 is 8377008595.
LCM(91517,91535) = 8377008595
Least Common Multiple of 91517 and 91535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91517 and 91535, than apply into the LCM equation.
GCF(91517,91535) = 1
LCM(91517,91535) = ( 91517 × 91535) / 1
LCM(91517,91535) = 8377008595 / 1
LCM(91517,91535) = 8377008595
Least Common Multiple (LCM) of 91517 and 91535 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91517 and 91535. First we will calculate the prime factors of 91517 and 91535.
Prime Factorization of 91517
Prime factors of 91517 are 23, 173. Prime factorization of 91517 in exponential form is:
91517 = 232 × 1731
Prime Factorization of 91535
Prime factors of 91535 are 5, 18307. Prime factorization of 91535 in exponential form is:
91535 = 51 × 183071
Now multiplying the highest exponent prime factors to calculate the LCM of 91517 and 91535.
LCM(91517,91535) = 232 × 1731 × 51 × 183071
LCM(91517,91535) = 8377008595
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