What is the Least Common Multiple of 64319 and 64324?
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 64319 and 64324 is 4137255356.
LCM(64319,64324) = 4137255356
Least Common Multiple of 64319 and 64324 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64319 and 64324, than apply into the LCM equation.
GCF(64319,64324) = 1
LCM(64319,64324) = ( 64319 × 64324) / 1
LCM(64319,64324) = 4137255356 / 1
LCM(64319,64324) = 4137255356
Least Common Multiple (LCM) of 64319 and 64324 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64319 and 64324. First we will calculate the prime factors of 64319 and 64324.
Prime Factorization of 64319
Prime factors of 64319 are 64319. Prime factorization of 64319 in exponential form is:
64319 = 643191
Prime Factorization of 64324
Prime factors of 64324 are 2, 13, 1237. Prime factorization of 64324 in exponential form is:
64324 = 22 × 131 × 12371
Now multiplying the highest exponent prime factors to calculate the LCM of 64319 and 64324.
LCM(64319,64324) = 643191 × 22 × 131 × 12371
LCM(64319,64324) = 4137255356
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