What is the Least Common Multiple of 7273 and 7291?
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 7273 and 7291 is 53027443.
LCM(7273,7291) = 53027443
Least Common Multiple of 7273 and 7291 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7273 and 7291, than apply into the LCM equation.
GCF(7273,7291) = 1
LCM(7273,7291) = ( 7273 × 7291) / 1
LCM(7273,7291) = 53027443 / 1
LCM(7273,7291) = 53027443
Least Common Multiple (LCM) of 7273 and 7291 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7273 and 7291. First we will calculate the prime factors of 7273 and 7291.
Prime Factorization of 7273
Prime factors of 7273 are 7, 1039. Prime factorization of 7273 in exponential form is:
7273 = 71 × 10391
Prime Factorization of 7291
Prime factors of 7291 are 23, 317. Prime factorization of 7291 in exponential form is:
7291 = 231 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 7273 and 7291.
LCM(7273,7291) = 71 × 10391 × 231 × 3171
LCM(7273,7291) = 53027443
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