What is the Least Common Multiple of 98136 and 98155?
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 98136 and 98155 is 9632539080.
LCM(98136,98155) = 9632539080
Least Common Multiple of 98136 and 98155 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98136 and 98155, than apply into the LCM equation.
GCF(98136,98155) = 1
LCM(98136,98155) = ( 98136 × 98155) / 1
LCM(98136,98155) = 9632539080 / 1
LCM(98136,98155) = 9632539080
Least Common Multiple (LCM) of 98136 and 98155 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98136 and 98155. First we will calculate the prime factors of 98136 and 98155.
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
Prime Factorization of 98155
Prime factors of 98155 are 5, 67, 293. Prime factorization of 98155 in exponential form is:
98155 = 51 × 671 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 98136 and 98155.
LCM(98136,98155) = 23 × 32 × 291 × 471 × 51 × 671 × 2931
LCM(98136,98155) = 9632539080
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