What is the Least Common Multiple of 93858 and 93862?
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 93858 and 93862 is 4404849798.
LCM(93858,93862) = 4404849798
Least Common Multiple of 93858 and 93862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93858 and 93862, than apply into the LCM equation.
GCF(93858,93862) = 2
LCM(93858,93862) = ( 93858 × 93862) / 2
LCM(93858,93862) = 8809699596 / 2
LCM(93858,93862) = 4404849798
Least Common Multiple (LCM) of 93858 and 93862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93858 and 93862. First we will calculate the prime factors of 93858 and 93862.
Prime Factorization of 93858
Prime factors of 93858 are 2, 3, 15643. Prime factorization of 93858 in exponential form is:
93858 = 21 × 31 × 156431
Prime Factorization of 93862
Prime factors of 93862 are 2, 71, 661. Prime factorization of 93862 in exponential form is:
93862 = 21 × 711 × 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 93858 and 93862.
LCM(93858,93862) = 21 × 31 × 156431 × 711 × 6611
LCM(93858,93862) = 4404849798
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