What is the Least Common Multiple of 64338 and 64345?
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 64345 is 4139828610.
LCM(64338,64345) = 4139828610
Least Common Multiple of 64338 and 64345 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 64345, than apply into the LCM equation.
GCF(64338,64345) = 1
LCM(64338,64345) = ( 64338 × 64345) / 1
LCM(64338,64345) = 4139828610 / 1
LCM(64338,64345) = 4139828610
Least Common Multiple (LCM) of 64338 and 64345 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64338 and 64345. First we will calculate the prime factors of 64338 and 64345.
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 64345
Prime factors of 64345 are 5, 17, 757. Prime factorization of 64345 in exponential form is:
64345 = 51 × 171 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 64338 and 64345.
LCM(64338,64345) = 21 × 31 × 107231 × 51 × 171 × 7571
LCM(64338,64345) = 4139828610
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