What is the Least Common Multiple of 98334 and 98351?
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 98334 and 98351 is 9671247234.
LCM(98334,98351) = 9671247234
Least Common Multiple of 98334 and 98351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98334 and 98351, than apply into the LCM equation.
GCF(98334,98351) = 1
LCM(98334,98351) = ( 98334 × 98351) / 1
LCM(98334,98351) = 9671247234 / 1
LCM(98334,98351) = 9671247234
Least Common Multiple (LCM) of 98334 and 98351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98334 and 98351. First we will calculate the prime factors of 98334 and 98351.
Prime Factorization of 98334
Prime factors of 98334 are 2, 3, 607. Prime factorization of 98334 in exponential form is:
98334 = 21 × 34 × 6071
Prime Factorization of 98351
Prime factors of 98351 are 11, 8941. Prime factorization of 98351 in exponential form is:
98351 = 111 × 89411
Now multiplying the highest exponent prime factors to calculate the LCM of 98334 and 98351.
LCM(98334,98351) = 21 × 34 × 6071 × 111 × 89411
LCM(98334,98351) = 9671247234
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