What is the Least Common Multiple of 98585 and 98605?
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 98585 and 98605 is 1944194785.
LCM(98585,98605) = 1944194785
Least Common Multiple of 98585 and 98605 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98585 and 98605, than apply into the LCM equation.
GCF(98585,98605) = 5
LCM(98585,98605) = ( 98585 × 98605) / 5
LCM(98585,98605) = 9720973925 / 5
LCM(98585,98605) = 1944194785
Least Common Multiple (LCM) of 98585 and 98605 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98585 and 98605. First we will calculate the prime factors of 98585 and 98605.
Prime Factorization of 98585
Prime factors of 98585 are 5, 19717. Prime factorization of 98585 in exponential form is:
98585 = 51 × 197171
Prime Factorization of 98605
Prime factors of 98605 are 5, 13, 37, 41. Prime factorization of 98605 in exponential form is:
98605 = 51 × 131 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 98585 and 98605.
LCM(98585,98605) = 51 × 197171 × 131 × 371 × 411
LCM(98585,98605) = 1944194785
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