What is the Least Common Multiple of 64386 and 64404?
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 64386 and 64404 is 230373108.
LCM(64386,64404) = 230373108
Least Common Multiple of 64386 and 64404 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64386 and 64404, than apply into the LCM equation.
GCF(64386,64404) = 18
LCM(64386,64404) = ( 64386 × 64404) / 18
LCM(64386,64404) = 4146715944 / 18
LCM(64386,64404) = 230373108
Least Common Multiple (LCM) of 64386 and 64404 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64386 and 64404. First we will calculate the prime factors of 64386 and 64404.
Prime Factorization of 64386
Prime factors of 64386 are 2, 3, 7, 73. Prime factorization of 64386 in exponential form is:
64386 = 21 × 32 × 72 × 731
Prime Factorization of 64404
Prime factors of 64404 are 2, 3, 1789. Prime factorization of 64404 in exponential form is:
64404 = 22 × 32 × 17891
Now multiplying the highest exponent prime factors to calculate the LCM of 64386 and 64404.
LCM(64386,64404) = 22 × 32 × 72 × 731 × 17891
LCM(64386,64404) = 230373108
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