What is the Least Common Multiple of 98843 and 98862?
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 98843 and 98862 is 9771816666.
LCM(98843,98862) = 9771816666
Least Common Multiple of 98843 and 98862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98843 and 98862, than apply into the LCM equation.
GCF(98843,98862) = 1
LCM(98843,98862) = ( 98843 × 98862) / 1
LCM(98843,98862) = 9771816666 / 1
LCM(98843,98862) = 9771816666
Least Common Multiple (LCM) of 98843 and 98862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98843 and 98862. First we will calculate the prime factors of 98843 and 98862.
Prime Factorization of 98843
Prime factors of 98843 are 97, 1019. Prime factorization of 98843 in exponential form is:
98843 = 971 × 10191
Prime Factorization of 98862
Prime factors of 98862 are 2, 3, 16477. Prime factorization of 98862 in exponential form is:
98862 = 21 × 31 × 164771
Now multiplying the highest exponent prime factors to calculate the LCM of 98843 and 98862.
LCM(98843,98862) = 971 × 10191 × 21 × 31 × 164771
LCM(98843,98862) = 9771816666
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