What is the Least Common Multiple of 64356 and 64367?
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 64356 and 64367 is 4142402652.
LCM(64356,64367) = 4142402652
Least Common Multiple of 64356 and 64367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64356 and 64367, than apply into the LCM equation.
GCF(64356,64367) = 1
LCM(64356,64367) = ( 64356 × 64367) / 1
LCM(64356,64367) = 4142402652 / 1
LCM(64356,64367) = 4142402652
Least Common Multiple (LCM) of 64356 and 64367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64356 and 64367. First we will calculate the prime factors of 64356 and 64367.
Prime Factorization of 64356
Prime factors of 64356 are 2, 3, 31, 173. Prime factorization of 64356 in exponential form is:
64356 = 22 × 31 × 311 × 1731
Prime Factorization of 64367
Prime factors of 64367 are 191, 337. Prime factorization of 64367 in exponential form is:
64367 = 1911 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 64356 and 64367.
LCM(64356,64367) = 22 × 31 × 311 × 1731 × 1911 × 3371
LCM(64356,64367) = 4142402652
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