What is the Least Common Multiple of 91437 and 91445?
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 91437 and 91445 is 8361456465.
LCM(91437,91445) = 8361456465
Least Common Multiple of 91437 and 91445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91437 and 91445, than apply into the LCM equation.
GCF(91437,91445) = 1
LCM(91437,91445) = ( 91437 × 91445) / 1
LCM(91437,91445) = 8361456465 / 1
LCM(91437,91445) = 8361456465
Least Common Multiple (LCM) of 91437 and 91445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91437 and 91445. First we will calculate the prime factors of 91437 and 91445.
Prime Factorization of 91437
Prime factors of 91437 are 3, 29, 1051. Prime factorization of 91437 in exponential form is:
91437 = 31 × 291 × 10511
Prime Factorization of 91445
Prime factors of 91445 are 5, 18289. Prime factorization of 91445 in exponential form is:
91445 = 51 × 182891
Now multiplying the highest exponent prime factors to calculate the LCM of 91437 and 91445.
LCM(91437,91445) = 31 × 291 × 10511 × 51 × 182891
LCM(91437,91445) = 8361456465
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