What is the Least Common Multiple of 98714 and 98727?
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 98714 and 98727 is 9745737078.
LCM(98714,98727) = 9745737078
Least Common Multiple of 98714 and 98727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98714 and 98727, than apply into the LCM equation.
GCF(98714,98727) = 1
LCM(98714,98727) = ( 98714 × 98727) / 1
LCM(98714,98727) = 9745737078 / 1
LCM(98714,98727) = 9745737078
Least Common Multiple (LCM) of 98714 and 98727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98714 and 98727. First we will calculate the prime factors of 98714 and 98727.
Prime Factorization of 98714
Prime factors of 98714 are 2, 7, 11, 641. Prime factorization of 98714 in exponential form is:
98714 = 21 × 71 × 111 × 6411
Prime Factorization of 98727
Prime factors of 98727 are 3, 32909. Prime factorization of 98727 in exponential form is:
98727 = 31 × 329091
Now multiplying the highest exponent prime factors to calculate the LCM of 98714 and 98727.
LCM(98714,98727) = 21 × 71 × 111 × 6411 × 31 × 329091
LCM(98714,98727) = 9745737078
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