What is the Least Common Multiple of 98666 and 98681?
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 98666 and 98681 is 9736459546.
LCM(98666,98681) = 9736459546
Least Common Multiple of 98666 and 98681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98666 and 98681, than apply into the LCM equation.
GCF(98666,98681) = 1
LCM(98666,98681) = ( 98666 × 98681) / 1
LCM(98666,98681) = 9736459546 / 1
LCM(98666,98681) = 9736459546
Least Common Multiple (LCM) of 98666 and 98681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98666 and 98681. First we will calculate the prime factors of 98666 and 98681.
Prime Factorization of 98666
Prime factors of 98666 are 2, 49333. Prime factorization of 98666 in exponential form is:
98666 = 21 × 493331
Prime Factorization of 98681
Prime factors of 98681 are 11, 8971. Prime factorization of 98681 in exponential form is:
98681 = 111 × 89711
Now multiplying the highest exponent prime factors to calculate the LCM of 98666 and 98681.
LCM(98666,98681) = 21 × 493331 × 111 × 89711
LCM(98666,98681) = 9736459546
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