What is the Least Common Multiple of 98159 and 98176?
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 98159 and 98176 is 9636857984.
LCM(98159,98176) = 9636857984
Least Common Multiple of 98159 and 98176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98159 and 98176, than apply into the LCM equation.
GCF(98159,98176) = 1
LCM(98159,98176) = ( 98159 × 98176) / 1
LCM(98159,98176) = 9636857984 / 1
LCM(98159,98176) = 9636857984
Least Common Multiple (LCM) of 98159 and 98176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98159 and 98176. First we will calculate the prime factors of 98159 and 98176.
Prime Factorization of 98159
Prime factors of 98159 are 103, 953. Prime factorization of 98159 in exponential form is:
98159 = 1031 × 9531
Prime Factorization of 98176
Prime factors of 98176 are 2, 13, 59. Prime factorization of 98176 in exponential form is:
98176 = 27 × 131 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 98159 and 98176.
LCM(98159,98176) = 1031 × 9531 × 27 × 131 × 591
LCM(98159,98176) = 9636857984
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