What is the Least Common Multiple of 98900 and 98919?
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 98900 and 98919 is 9783089100.
LCM(98900,98919) = 9783089100
Least Common Multiple of 98900 and 98919 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98900 and 98919, than apply into the LCM equation.
GCF(98900,98919) = 1
LCM(98900,98919) = ( 98900 × 98919) / 1
LCM(98900,98919) = 9783089100 / 1
LCM(98900,98919) = 9783089100
Least Common Multiple (LCM) of 98900 and 98919 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98900 and 98919. First we will calculate the prime factors of 98900 and 98919.
Prime Factorization of 98900
Prime factors of 98900 are 2, 5, 23, 43. Prime factorization of 98900 in exponential form is:
98900 = 22 × 52 × 231 × 431
Prime Factorization of 98919
Prime factors of 98919 are 3, 29, 379. Prime factorization of 98919 in exponential form is:
98919 = 32 × 291 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 98900 and 98919.
LCM(98900,98919) = 22 × 52 × 231 × 431 × 32 × 291 × 3791
LCM(98900,98919) = 9783089100
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