What is the Least Common Multiple of 98911 and 98918?
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 98911 and 98918 is 9784078298.
LCM(98911,98918) = 9784078298
Least Common Multiple of 98911 and 98918 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98911 and 98918, than apply into the LCM equation.
GCF(98911,98918) = 1
LCM(98911,98918) = ( 98911 × 98918) / 1
LCM(98911,98918) = 9784078298 / 1
LCM(98911,98918) = 9784078298
Least Common Multiple (LCM) of 98911 and 98918 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98911 and 98918. First we will calculate the prime factors of 98911 and 98918.
Prime Factorization of 98911
Prime factors of 98911 are 98911. Prime factorization of 98911 in exponential form is:
98911 = 989111
Prime Factorization of 98918
Prime factors of 98918 are 2, 49459. Prime factorization of 98918 in exponential form is:
98918 = 21 × 494591
Now multiplying the highest exponent prime factors to calculate the LCM of 98911 and 98918.
LCM(98911,98918) = 989111 × 21 × 494591
LCM(98911,98918) = 9784078298
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