What is the Least Common Multiple of 98875 and 98886?
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 98875 and 98886 is 9777353250.
LCM(98875,98886) = 9777353250
Least Common Multiple of 98875 and 98886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98875 and 98886, than apply into the LCM equation.
GCF(98875,98886) = 1
LCM(98875,98886) = ( 98875 × 98886) / 1
LCM(98875,98886) = 9777353250 / 1
LCM(98875,98886) = 9777353250
Least Common Multiple (LCM) of 98875 and 98886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98875 and 98886. First we will calculate the prime factors of 98875 and 98886.
Prime Factorization of 98875
Prime factors of 98875 are 5, 7, 113. Prime factorization of 98875 in exponential form is:
98875 = 53 × 71 × 1131
Prime Factorization of 98886
Prime factors of 98886 are 2, 3, 16481. Prime factorization of 98886 in exponential form is:
98886 = 21 × 31 × 164811
Now multiplying the highest exponent prime factors to calculate the LCM of 98875 and 98886.
LCM(98875,98886) = 53 × 71 × 1131 × 21 × 31 × 164811
LCM(98875,98886) = 9777353250
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