What is the Least Common Multiple of 98876 and 98890?
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 98876 and 98890 is 4888923820.
LCM(98876,98890) = 4888923820
Least Common Multiple of 98876 and 98890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98876 and 98890, than apply into the LCM equation.
GCF(98876,98890) = 2
LCM(98876,98890) = ( 98876 × 98890) / 2
LCM(98876,98890) = 9777847640 / 2
LCM(98876,98890) = 4888923820
Least Common Multiple (LCM) of 98876 and 98890 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98876 and 98890. First we will calculate the prime factors of 98876 and 98890.
Prime Factorization of 98876
Prime factors of 98876 are 2, 19, 1301. Prime factorization of 98876 in exponential form is:
98876 = 22 × 191 × 13011
Prime Factorization of 98890
Prime factors of 98890 are 2, 5, 11, 29, 31. Prime factorization of 98890 in exponential form is:
98890 = 21 × 51 × 111 × 291 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 98876 and 98890.
LCM(98876,98890) = 22 × 191 × 13011 × 51 × 111 × 291 × 311
LCM(98876,98890) = 4888923820
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