What is the Least Common Multiple of 8846 and 8862?
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 8846 and 8862 is 39196626.
LCM(8846,8862) = 39196626
Least Common Multiple of 8846 and 8862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8846 and 8862, than apply into the LCM equation.
GCF(8846,8862) = 2
LCM(8846,8862) = ( 8846 × 8862) / 2
LCM(8846,8862) = 78393252 / 2
LCM(8846,8862) = 39196626
Least Common Multiple (LCM) of 8846 and 8862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8846 and 8862. First we will calculate the prime factors of 8846 and 8862.
Prime Factorization of 8846
Prime factors of 8846 are 2, 4423. Prime factorization of 8846 in exponential form is:
8846 = 21 × 44231
Prime Factorization of 8862
Prime factors of 8862 are 2, 3, 7, 211. Prime factorization of 8862 in exponential form is:
8862 = 21 × 31 × 71 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 8846 and 8862.
LCM(8846,8862) = 21 × 44231 × 31 × 71 × 2111
LCM(8846,8862) = 39196626
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