What is the Least Common Multiple of 94206 and 94211?
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 94206 and 94211 is 8875241466.
LCM(94206,94211) = 8875241466
Least Common Multiple of 94206 and 94211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94206 and 94211, than apply into the LCM equation.
GCF(94206,94211) = 1
LCM(94206,94211) = ( 94206 × 94211) / 1
LCM(94206,94211) = 8875241466 / 1
LCM(94206,94211) = 8875241466
Least Common Multiple (LCM) of 94206 and 94211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94206 and 94211. First we will calculate the prime factors of 94206 and 94211.
Prime Factorization of 94206
Prime factors of 94206 are 2, 3, 7, 2243. Prime factorization of 94206 in exponential form is:
94206 = 21 × 31 × 71 × 22431
Prime Factorization of 94211
Prime factors of 94211 are 13, 7247. Prime factorization of 94211 in exponential form is:
94211 = 131 × 72471
Now multiplying the highest exponent prime factors to calculate the LCM of 94206 and 94211.
LCM(94206,94211) = 21 × 31 × 71 × 22431 × 131 × 72471
LCM(94206,94211) = 8875241466
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