What is the Least Common Multiple of 66221 and 66235?
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 66221 and 66235 is 4386147935.
LCM(66221,66235) = 4386147935
Least Common Multiple of 66221 and 66235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66221 and 66235, than apply into the LCM equation.
GCF(66221,66235) = 1
LCM(66221,66235) = ( 66221 × 66235) / 1
LCM(66221,66235) = 4386147935 / 1
LCM(66221,66235) = 4386147935
Least Common Multiple (LCM) of 66221 and 66235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66221 and 66235. First we will calculate the prime factors of 66221 and 66235.
Prime Factorization of 66221
Prime factors of 66221 are 66221. Prime factorization of 66221 in exponential form is:
66221 = 662211
Prime Factorization of 66235
Prime factors of 66235 are 5, 13, 1019. Prime factorization of 66235 in exponential form is:
66235 = 51 × 131 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 66221 and 66235.
LCM(66221,66235) = 662211 × 51 × 131 × 10191
LCM(66221,66235) = 4386147935
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