What is the Least Common Multiple of 98861 and 98876?
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 98861 and 98876 is 9774980236.
LCM(98861,98876) = 9774980236
Least Common Multiple of 98861 and 98876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98861 and 98876, than apply into the LCM equation.
GCF(98861,98876) = 1
LCM(98861,98876) = ( 98861 × 98876) / 1
LCM(98861,98876) = 9774980236 / 1
LCM(98861,98876) = 9774980236
Least Common Multiple (LCM) of 98861 and 98876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98861 and 98876. First we will calculate the prime factors of 98861 and 98876.
Prime Factorization of 98861
Prime factors of 98861 are 7, 29, 487. Prime factorization of 98861 in exponential form is:
98861 = 71 × 291 × 4871
Prime Factorization of 98876
Prime factors of 98876 are 2, 19, 1301. Prime factorization of 98876 in exponential form is:
98876 = 22 × 191 × 13011
Now multiplying the highest exponent prime factors to calculate the LCM of 98861 and 98876.
LCM(98861,98876) = 71 × 291 × 4871 × 22 × 191 × 13011
LCM(98861,98876) = 9774980236
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