What is the Least Common Multiple of 97283 and 97297?
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 97283 and 97297 is 9465344051.
LCM(97283,97297) = 9465344051
Least Common Multiple of 97283 and 97297 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97283 and 97297, than apply into the LCM equation.
GCF(97283,97297) = 1
LCM(97283,97297) = ( 97283 × 97297) / 1
LCM(97283,97297) = 9465344051 / 1
LCM(97283,97297) = 9465344051
Least Common Multiple (LCM) of 97283 and 97297 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97283 and 97297. First we will calculate the prime factors of 97283 and 97297.
Prime Factorization of 97283
Prime factors of 97283 are 97283. Prime factorization of 97283 in exponential form is:
97283 = 972831
Prime Factorization of 97297
Prime factors of 97297 are 149, 653. Prime factorization of 97297 in exponential form is:
97297 = 1491 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 97283 and 97297.
LCM(97283,97297) = 972831 × 1491 × 6531
LCM(97283,97297) = 9465344051
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