What is the Least Common Multiple of 98886 and 98894?
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 98886 and 98894 is 4889616042.
LCM(98886,98894) = 4889616042
Least Common Multiple of 98886 and 98894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98886 and 98894, than apply into the LCM equation.
GCF(98886,98894) = 2
LCM(98886,98894) = ( 98886 × 98894) / 2
LCM(98886,98894) = 9779232084 / 2
LCM(98886,98894) = 4889616042
Least Common Multiple (LCM) of 98886 and 98894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98886 and 98894. First we will calculate the prime factors of 98886 and 98894.
Prime Factorization of 98886
Prime factors of 98886 are 2, 3, 16481. Prime factorization of 98886 in exponential form is:
98886 = 21 × 31 × 164811
Prime Factorization of 98894
Prime factors of 98894 are 2, 197, 251. Prime factorization of 98894 in exponential form is:
98894 = 21 × 1971 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 98886 and 98894.
LCM(98886,98894) = 21 × 31 × 164811 × 1971 × 2511
LCM(98886,98894) = 4889616042
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