What is the Least Common Multiple of 3283 and 3293?
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 3283 and 3293 is 10810919.
LCM(3283,3293) = 10810919
Least Common Multiple of 3283 and 3293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3283 and 3293, than apply into the LCM equation.
GCF(3283,3293) = 1
LCM(3283,3293) = ( 3283 × 3293) / 1
LCM(3283,3293) = 10810919 / 1
LCM(3283,3293) = 10810919
Least Common Multiple (LCM) of 3283 and 3293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3283 and 3293. First we will calculate the prime factors of 3283 and 3293.
Prime Factorization of 3283
Prime factors of 3283 are 7, 67. Prime factorization of 3283 in exponential form is:
3283 = 72 × 671
Prime Factorization of 3293
Prime factors of 3293 are 37, 89. Prime factorization of 3293 in exponential form is:
3293 = 371 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 3283 and 3293.
LCM(3283,3293) = 72 × 671 × 371 × 891
LCM(3283,3293) = 10810919
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