What is the Least Common Multiple of 7283 and 7303?
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 7283 and 7303 is 53187749.
LCM(7283,7303) = 53187749
Least Common Multiple of 7283 and 7303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7283 and 7303, than apply into the LCM equation.
GCF(7283,7303) = 1
LCM(7283,7303) = ( 7283 × 7303) / 1
LCM(7283,7303) = 53187749 / 1
LCM(7283,7303) = 53187749
Least Common Multiple (LCM) of 7283 and 7303 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7283 and 7303. First we will calculate the prime factors of 7283 and 7303.
Prime Factorization of 7283
Prime factors of 7283 are 7283. Prime factorization of 7283 in exponential form is:
7283 = 72831
Prime Factorization of 7303
Prime factors of 7303 are 67, 109. Prime factorization of 7303 in exponential form is:
7303 = 671 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 7283 and 7303.
LCM(7283,7303) = 72831 × 671 × 1091
LCM(7283,7303) = 53187749
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