What is the Least Common Multiple of 94844 and 94858?
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 94844 and 94858 is 4498356076.
LCM(94844,94858) = 4498356076
Least Common Multiple of 94844 and 94858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94844 and 94858, than apply into the LCM equation.
GCF(94844,94858) = 2
LCM(94844,94858) = ( 94844 × 94858) / 2
LCM(94844,94858) = 8996712152 / 2
LCM(94844,94858) = 4498356076
Least Common Multiple (LCM) of 94844 and 94858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94844 and 94858. First we will calculate the prime factors of 94844 and 94858.
Prime Factorization of 94844
Prime factors of 94844 are 2, 131, 181. Prime factorization of 94844 in exponential form is:
94844 = 22 × 1311 × 1811
Prime Factorization of 94858
Prime factors of 94858 are 2, 43, 1103. Prime factorization of 94858 in exponential form is:
94858 = 21 × 431 × 11031
Now multiplying the highest exponent prime factors to calculate the LCM of 94844 and 94858.
LCM(94844,94858) = 22 × 1311 × 1811 × 431 × 11031
LCM(94844,94858) = 4498356076
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