What is the Least Common Multiple of 98647 and 98654?
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 98647 and 98654 is 9731921138.
LCM(98647,98654) = 9731921138
Least Common Multiple of 98647 and 98654 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98647 and 98654, than apply into the LCM equation.
GCF(98647,98654) = 1
LCM(98647,98654) = ( 98647 × 98654) / 1
LCM(98647,98654) = 9731921138 / 1
LCM(98647,98654) = 9731921138
Least Common Multiple (LCM) of 98647 and 98654 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98647 and 98654. First we will calculate the prime factors of 98647 and 98654.
Prime Factorization of 98647
Prime factors of 98647 are 23, 4289. Prime factorization of 98647 in exponential form is:
98647 = 231 × 42891
Prime Factorization of 98654
Prime factors of 98654 are 2, 107, 461. Prime factorization of 98654 in exponential form is:
98654 = 21 × 1071 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 98647 and 98654.
LCM(98647,98654) = 231 × 42891 × 21 × 1071 × 4611
LCM(98647,98654) = 9731921138
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