What is the Least Common Multiple of 91333 and 91353?
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 91333 and 91353 is 8343543549.
LCM(91333,91353) = 8343543549
Least Common Multiple of 91333 and 91353 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91333 and 91353, than apply into the LCM equation.
GCF(91333,91353) = 1
LCM(91333,91353) = ( 91333 × 91353) / 1
LCM(91333,91353) = 8343543549 / 1
LCM(91333,91353) = 8343543549
Least Common Multiple (LCM) of 91333 and 91353 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91333 and 91353. First we will calculate the prime factors of 91333 and 91353.
Prime Factorization of 91333
Prime factors of 91333 are 11, 19, 23. Prime factorization of 91333 in exponential form is:
91333 = 111 × 192 × 231
Prime Factorization of 91353
Prime factors of 91353 are 3, 37, 823. Prime factorization of 91353 in exponential form is:
91353 = 31 × 371 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 91333 and 91353.
LCM(91333,91353) = 111 × 192 × 231 × 31 × 371 × 8231
LCM(91333,91353) = 8343543549
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