What is the Least Common Multiple of 66215 and 66230?
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 66215 and 66230 is 877083890.
LCM(66215,66230) = 877083890
Least Common Multiple of 66215 and 66230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66215 and 66230, than apply into the LCM equation.
GCF(66215,66230) = 5
LCM(66215,66230) = ( 66215 × 66230) / 5
LCM(66215,66230) = 4385419450 / 5
LCM(66215,66230) = 877083890
Least Common Multiple (LCM) of 66215 and 66230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66215 and 66230. First we will calculate the prime factors of 66215 and 66230.
Prime Factorization of 66215
Prime factors of 66215 are 5, 17, 19, 41. Prime factorization of 66215 in exponential form is:
66215 = 51 × 171 × 191 × 411
Prime Factorization of 66230
Prime factors of 66230 are 2, 5, 37, 179. Prime factorization of 66230 in exponential form is:
66230 = 21 × 51 × 371 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 66215 and 66230.
LCM(66215,66230) = 51 × 171 × 191 × 411 × 21 × 371 × 1791
LCM(66215,66230) = 877083890
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