What is the Least Common Multiple of 94268 and 94286?
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 94268 and 94286 is 4444076324.
LCM(94268,94286) = 4444076324
Least Common Multiple of 94268 and 94286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94268 and 94286, than apply into the LCM equation.
GCF(94268,94286) = 2
LCM(94268,94286) = ( 94268 × 94286) / 2
LCM(94268,94286) = 8888152648 / 2
LCM(94268,94286) = 4444076324
Least Common Multiple (LCM) of 94268 and 94286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94268 and 94286. First we will calculate the prime factors of 94268 and 94286.
Prime Factorization of 94268
Prime factors of 94268 are 2, 23567. Prime factorization of 94268 in exponential form is:
94268 = 22 × 235671
Prime Factorization of 94286
Prime factors of 94286 are 2, 47143. Prime factorization of 94286 in exponential form is:
94286 = 21 × 471431
Now multiplying the highest exponent prime factors to calculate the LCM of 94268 and 94286.
LCM(94268,94286) = 22 × 235671 × 471431
LCM(94268,94286) = 4444076324
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