What is the Least Common Multiple of 64378 and 64391?
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 64378 and 64391 is 4145363798.
LCM(64378,64391) = 4145363798
Least Common Multiple of 64378 and 64391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64378 and 64391, than apply into the LCM equation.
GCF(64378,64391) = 1
LCM(64378,64391) = ( 64378 × 64391) / 1
LCM(64378,64391) = 4145363798 / 1
LCM(64378,64391) = 4145363798
Least Common Multiple (LCM) of 64378 and 64391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64378 and 64391. First we will calculate the prime factors of 64378 and 64391.
Prime Factorization of 64378
Prime factors of 64378 are 2, 32189. Prime factorization of 64378 in exponential form is:
64378 = 21 × 321891
Prime Factorization of 64391
Prime factors of 64391 are 19, 3389. Prime factorization of 64391 in exponential form is:
64391 = 191 × 33891
Now multiplying the highest exponent prime factors to calculate the LCM of 64378 and 64391.
LCM(64378,64391) = 21 × 321891 × 191 × 33891
LCM(64378,64391) = 4145363798
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