What is the Least Common Multiple of 64386 and 64397?
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 64397 is 4146265242.
LCM(64386,64397) = 4146265242
Least Common Multiple of 64386 and 64397 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 64397, than apply into the LCM equation.
GCF(64386,64397) = 1
LCM(64386,64397) = ( 64386 × 64397) / 1
LCM(64386,64397) = 4146265242 / 1
LCM(64386,64397) = 4146265242
Least Common Multiple (LCM) of 64386 and 64397 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64386 and 64397. First we will calculate the prime factors of 64386 and 64397.
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 64397
Prime factors of 64397 are 71, 907. Prime factorization of 64397 in exponential form is:
64397 = 711 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 64386 and 64397.
LCM(64386,64397) = 21 × 32 × 72 × 731 × 711 × 9071
LCM(64386,64397) = 4146265242
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