What is the Least Common Multiple of 97229 and 97249?
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 97229 and 97249 is 9455423021.
LCM(97229,97249) = 9455423021
Least Common Multiple of 97229 and 97249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97229 and 97249, than apply into the LCM equation.
GCF(97229,97249) = 1
LCM(97229,97249) = ( 97229 × 97249) / 1
LCM(97229,97249) = 9455423021 / 1
LCM(97229,97249) = 9455423021
Least Common Multiple (LCM) of 97229 and 97249 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97229 and 97249. First we will calculate the prime factors of 97229 and 97249.
Prime Factorization of 97229
Prime factors of 97229 are 11, 8839. Prime factorization of 97229 in exponential form is:
97229 = 111 × 88391
Prime Factorization of 97249
Prime factors of 97249 are 79, 1231. Prime factorization of 97249 in exponential form is:
97249 = 791 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 97229 and 97249.
LCM(97229,97249) = 111 × 88391 × 791 × 12311
LCM(97229,97249) = 9455423021
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