What is the Least Common Multiple of 94466 and 94479?
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 94466 and 94479 is 8925053214.
LCM(94466,94479) = 8925053214
Least Common Multiple of 94466 and 94479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94466 and 94479, than apply into the LCM equation.
GCF(94466,94479) = 1
LCM(94466,94479) = ( 94466 × 94479) / 1
LCM(94466,94479) = 8925053214 / 1
LCM(94466,94479) = 8925053214
Least Common Multiple (LCM) of 94466 and 94479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94466 and 94479. First we will calculate the prime factors of 94466 and 94479.
Prime Factorization of 94466
Prime factors of 94466 are 2, 149, 317. Prime factorization of 94466 in exponential form is:
94466 = 21 × 1491 × 3171
Prime Factorization of 94479
Prime factors of 94479 are 3, 7, 11, 409. Prime factorization of 94479 in exponential form is:
94479 = 31 × 71 × 111 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 94466 and 94479.
LCM(94466,94479) = 21 × 1491 × 3171 × 31 × 71 × 111 × 4091
LCM(94466,94479) = 8925053214
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