What is the Least Common Multiple of 29217 and 29237?
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 29217 and 29237 is 854217429.
LCM(29217,29237) = 854217429
Least Common Multiple of 29217 and 29237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29217 and 29237, than apply into the LCM equation.
GCF(29217,29237) = 1
LCM(29217,29237) = ( 29217 × 29237) / 1
LCM(29217,29237) = 854217429 / 1
LCM(29217,29237) = 854217429
Least Common Multiple (LCM) of 29217 and 29237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29217 and 29237. First we will calculate the prime factors of 29217 and 29237.
Prime Factorization of 29217
Prime factors of 29217 are 3, 9739. Prime factorization of 29217 in exponential form is:
29217 = 31 × 97391
Prime Factorization of 29237
Prime factors of 29237 are 13, 173. Prime factorization of 29237 in exponential form is:
29237 = 132 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 29217 and 29237.
LCM(29217,29237) = 31 × 97391 × 132 × 1731
LCM(29217,29237) = 854217429
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