What is the Least Common Multiple of 94158 and 94162?
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 94158 and 94162 is 4433052798.
LCM(94158,94162) = 4433052798
Least Common Multiple of 94158 and 94162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94158 and 94162, than apply into the LCM equation.
GCF(94158,94162) = 2
LCM(94158,94162) = ( 94158 × 94162) / 2
LCM(94158,94162) = 8866105596 / 2
LCM(94158,94162) = 4433052798
Least Common Multiple (LCM) of 94158 and 94162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94158 and 94162. First we will calculate the prime factors of 94158 and 94162.
Prime Factorization of 94158
Prime factors of 94158 are 2, 3, 5231. Prime factorization of 94158 in exponential form is:
94158 = 21 × 32 × 52311
Prime Factorization of 94162
Prime factors of 94162 are 2, 23, 89. Prime factorization of 94162 in exponential form is:
94162 = 21 × 232 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 94158 and 94162.
LCM(94158,94162) = 21 × 32 × 52311 × 232 × 891
LCM(94158,94162) = 4433052798
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