What is the Least Common Multiple of 29243 and 29247?
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 29243 and 29247 is 855270021.
LCM(29243,29247) = 855270021
Least Common Multiple of 29243 and 29247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29243 and 29247, than apply into the LCM equation.
GCF(29243,29247) = 1
LCM(29243,29247) = ( 29243 × 29247) / 1
LCM(29243,29247) = 855270021 / 1
LCM(29243,29247) = 855270021
Least Common Multiple (LCM) of 29243 and 29247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29243 and 29247. First we will calculate the prime factors of 29243 and 29247.
Prime Factorization of 29243
Prime factors of 29243 are 29243. Prime factorization of 29243 in exponential form is:
29243 = 292431
Prime Factorization of 29247
Prime factors of 29247 are 3, 9749. Prime factorization of 29247 in exponential form is:
29247 = 31 × 97491
Now multiplying the highest exponent prime factors to calculate the LCM of 29243 and 29247.
LCM(29243,29247) = 292431 × 31 × 97491
LCM(29243,29247) = 855270021
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