What is the Least Common Multiple of 98169 and 98188?
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 98169 and 98188 is 9639017772.
LCM(98169,98188) = 9639017772
Least Common Multiple of 98169 and 98188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98169 and 98188, than apply into the LCM equation.
GCF(98169,98188) = 1
LCM(98169,98188) = ( 98169 × 98188) / 1
LCM(98169,98188) = 9639017772 / 1
LCM(98169,98188) = 9639017772
Least Common Multiple (LCM) of 98169 and 98188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98169 and 98188. First we will calculate the prime factors of 98169 and 98188.
Prime Factorization of 98169
Prime factors of 98169 are 3, 43, 761. Prime factorization of 98169 in exponential form is:
98169 = 31 × 431 × 7611
Prime Factorization of 98188
Prime factors of 98188 are 2, 24547. Prime factorization of 98188 in exponential form is:
98188 = 22 × 245471
Now multiplying the highest exponent prime factors to calculate the LCM of 98169 and 98188.
LCM(98169,98188) = 31 × 431 × 7611 × 22 × 245471
LCM(98169,98188) = 9639017772
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