What is the Least Common Multiple of 93862 and 93882?
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 93862 and 93882 is 4405976142.
LCM(93862,93882) = 4405976142
Least Common Multiple of 93862 and 93882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93862 and 93882, than apply into the LCM equation.
GCF(93862,93882) = 2
LCM(93862,93882) = ( 93862 × 93882) / 2
LCM(93862,93882) = 8811952284 / 2
LCM(93862,93882) = 4405976142
Least Common Multiple (LCM) of 93862 and 93882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93862 and 93882. First we will calculate the prime factors of 93862 and 93882.
Prime Factorization of 93862
Prime factors of 93862 are 2, 71, 661. Prime factorization of 93862 in exponential form is:
93862 = 21 × 711 × 6611
Prime Factorization of 93882
Prime factors of 93882 are 2, 3, 15647. Prime factorization of 93882 in exponential form is:
93882 = 21 × 31 × 156471
Now multiplying the highest exponent prime factors to calculate the LCM of 93862 and 93882.
LCM(93862,93882) = 21 × 711 × 6611 × 31 × 156471
LCM(93862,93882) = 4405976142
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