What is the Least Common Multiple of 64315 and 64323?
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 64315 and 64323 is 4136933745.
LCM(64315,64323) = 4136933745
Least Common Multiple of 64315 and 64323 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64315 and 64323, than apply into the LCM equation.
GCF(64315,64323) = 1
LCM(64315,64323) = ( 64315 × 64323) / 1
LCM(64315,64323) = 4136933745 / 1
LCM(64315,64323) = 4136933745
Least Common Multiple (LCM) of 64315 and 64323 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64315 and 64323. First we will calculate the prime factors of 64315 and 64323.
Prime Factorization of 64315
Prime factors of 64315 are 5, 19, 677. Prime factorization of 64315 in exponential form is:
64315 = 51 × 191 × 6771
Prime Factorization of 64323
Prime factors of 64323 are 3, 7, 1021. Prime factorization of 64323 in exponential form is:
64323 = 32 × 71 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 64315 and 64323.
LCM(64315,64323) = 51 × 191 × 6771 × 32 × 71 × 10211
LCM(64315,64323) = 4136933745
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Related Least Common Multiples of 64323
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