What is the Least Common Multiple of 98637 and 98655?
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 98637 and 98655 is 3243677745.
LCM(98637,98655) = 3243677745
Least Common Multiple of 98637 and 98655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98637 and 98655, than apply into the LCM equation.
GCF(98637,98655) = 3
LCM(98637,98655) = ( 98637 × 98655) / 3
LCM(98637,98655) = 9731033235 / 3
LCM(98637,98655) = 3243677745
Least Common Multiple (LCM) of 98637 and 98655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98637 and 98655. First we will calculate the prime factors of 98637 and 98655.
Prime Factorization of 98637
Prime factors of 98637 are 3, 7, 11, 61. Prime factorization of 98637 in exponential form is:
98637 = 31 × 72 × 111 × 611
Prime Factorization of 98655
Prime factors of 98655 are 3, 5, 6577. Prime factorization of 98655 in exponential form is:
98655 = 31 × 51 × 65771
Now multiplying the highest exponent prime factors to calculate the LCM of 98637 and 98655.
LCM(98637,98655) = 31 × 72 × 111 × 611 × 51 × 65771
LCM(98637,98655) = 3243677745
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