What is the Least Common Multiple of 94246 and 94255?
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 94246 and 94255 is 8883156730.
LCM(94246,94255) = 8883156730
Least Common Multiple of 94246 and 94255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94246 and 94255, than apply into the LCM equation.
GCF(94246,94255) = 1
LCM(94246,94255) = ( 94246 × 94255) / 1
LCM(94246,94255) = 8883156730 / 1
LCM(94246,94255) = 8883156730
Least Common Multiple (LCM) of 94246 and 94255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94246 and 94255. First we will calculate the prime factors of 94246 and 94255.
Prime Factorization of 94246
Prime factors of 94246 are 2, 47123. Prime factorization of 94246 in exponential form is:
94246 = 21 × 471231
Prime Factorization of 94255
Prime factors of 94255 are 5, 7, 2693. Prime factorization of 94255 in exponential form is:
94255 = 51 × 71 × 26931
Now multiplying the highest exponent prime factors to calculate the LCM of 94246 and 94255.
LCM(94246,94255) = 21 × 471231 × 51 × 71 × 26931
LCM(94246,94255) = 8883156730
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