What is the Least Common Multiple of 94211 and 94229?
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 94211 and 94229 is 8877408319.
LCM(94211,94229) = 8877408319
Least Common Multiple of 94211 and 94229 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94211 and 94229, than apply into the LCM equation.
GCF(94211,94229) = 1
LCM(94211,94229) = ( 94211 × 94229) / 1
LCM(94211,94229) = 8877408319 / 1
LCM(94211,94229) = 8877408319
Least Common Multiple (LCM) of 94211 and 94229 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94211 and 94229. First we will calculate the prime factors of 94211 and 94229.
Prime Factorization of 94211
Prime factors of 94211 are 13, 7247. Prime factorization of 94211 in exponential form is:
94211 = 131 × 72471
Prime Factorization of 94229
Prime factors of 94229 are 94229. Prime factorization of 94229 in exponential form is:
94229 = 942291
Now multiplying the highest exponent prime factors to calculate the LCM of 94211 and 94229.
LCM(94211,94229) = 131 × 72471 × 942291
LCM(94211,94229) = 8877408319
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