What is the Least Common Multiple of 98127 and 98136?
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 98127 and 98136 is 1069976808.
LCM(98127,98136) = 1069976808
Least Common Multiple of 98127 and 98136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98127 and 98136, than apply into the LCM equation.
GCF(98127,98136) = 9
LCM(98127,98136) = ( 98127 × 98136) / 9
LCM(98127,98136) = 9629791272 / 9
LCM(98127,98136) = 1069976808
Least Common Multiple (LCM) of 98127 and 98136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98127 and 98136. First we will calculate the prime factors of 98127 and 98136.
Prime Factorization of 98127
Prime factors of 98127 are 3, 10903. Prime factorization of 98127 in exponential form is:
98127 = 32 × 109031
Prime Factorization of 98136
Prime factors of 98136 are 2, 3, 29, 47. Prime factorization of 98136 in exponential form is:
98136 = 23 × 32 × 291 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 98127 and 98136.
LCM(98127,98136) = 32 × 109031 × 23 × 291 × 471
LCM(98127,98136) = 1069976808
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