What is the Least Common Multiple of 98627 and 98645?
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 98627 and 98645 is 9729060415.
LCM(98627,98645) = 9729060415
Least Common Multiple of 98627 and 98645 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98627 and 98645, than apply into the LCM equation.
GCF(98627,98645) = 1
LCM(98627,98645) = ( 98627 × 98645) / 1
LCM(98627,98645) = 9729060415 / 1
LCM(98627,98645) = 9729060415
Least Common Multiple (LCM) of 98627 and 98645 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98627 and 98645. First we will calculate the prime factors of 98627 and 98645.
Prime Factorization of 98627
Prime factors of 98627 are 98627. Prime factorization of 98627 in exponential form is:
98627 = 986271
Prime Factorization of 98645
Prime factors of 98645 are 5, 109, 181. Prime factorization of 98645 in exponential form is:
98645 = 51 × 1091 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 98627 and 98645.
LCM(98627,98645) = 986271 × 51 × 1091 × 1811
LCM(98627,98645) = 9729060415
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