What is the Least Common Multiple of 34210 and 34228?
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 34210 and 34228 is 585469940.
LCM(34210,34228) = 585469940
Least Common Multiple of 34210 and 34228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34210 and 34228, than apply into the LCM equation.
GCF(34210,34228) = 2
LCM(34210,34228) = ( 34210 × 34228) / 2
LCM(34210,34228) = 1170939880 / 2
LCM(34210,34228) = 585469940
Least Common Multiple (LCM) of 34210 and 34228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34210 and 34228. First we will calculate the prime factors of 34210 and 34228.
Prime Factorization of 34210
Prime factors of 34210 are 2, 5, 11, 311. Prime factorization of 34210 in exponential form is:
34210 = 21 × 51 × 111 × 3111
Prime Factorization of 34228
Prime factors of 34228 are 2, 43, 199. Prime factorization of 34228 in exponential form is:
34228 = 22 × 431 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 34210 and 34228.
LCM(34210,34228) = 22 × 51 × 111 × 3111 × 431 × 1991
LCM(34210,34228) = 585469940
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