What is the Least Common Multiple of 64189 and 64209?
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 64189 and 64209 is 4121511501.
LCM(64189,64209) = 4121511501
Least Common Multiple of 64189 and 64209 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64189 and 64209, than apply into the LCM equation.
GCF(64189,64209) = 1
LCM(64189,64209) = ( 64189 × 64209) / 1
LCM(64189,64209) = 4121511501 / 1
LCM(64189,64209) = 4121511501
Least Common Multiple (LCM) of 64189 and 64209 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64189 and 64209. First we will calculate the prime factors of 64189 and 64209.
Prime Factorization of 64189
Prime factors of 64189 are 64189. Prime factorization of 64189 in exponential form is:
64189 = 641891
Prime Factorization of 64209
Prime factors of 64209 are 3, 17, 1259. Prime factorization of 64209 in exponential form is:
64209 = 31 × 171 × 12591
Now multiplying the highest exponent prime factors to calculate the LCM of 64189 and 64209.
LCM(64189,64209) = 641891 × 31 × 171 × 12591
LCM(64189,64209) = 4121511501
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