What is the Least Common Multiple of 64338 and 64346?
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 64338 and 64346 is 2069946474.
LCM(64338,64346) = 2069946474
Least Common Multiple of 64338 and 64346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64338 and 64346, than apply into the LCM equation.
GCF(64338,64346) = 2
LCM(64338,64346) = ( 64338 × 64346) / 2
LCM(64338,64346) = 4139892948 / 2
LCM(64338,64346) = 2069946474
Least Common Multiple (LCM) of 64338 and 64346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64338 and 64346. First we will calculate the prime factors of 64338 and 64346.
Prime Factorization of 64338
Prime factors of 64338 are 2, 3, 10723. Prime factorization of 64338 in exponential form is:
64338 = 21 × 31 × 107231
Prime Factorization of 64346
Prime factors of 64346 are 2, 32173. Prime factorization of 64346 in exponential form is:
64346 = 21 × 321731
Now multiplying the highest exponent prime factors to calculate the LCM of 64338 and 64346.
LCM(64338,64346) = 21 × 31 × 107231 × 321731
LCM(64338,64346) = 2069946474
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