What is the Least Common Multiple of 64309 and 64318?
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 64309 and 64318 is 4136226262.
LCM(64309,64318) = 4136226262
Least Common Multiple of 64309 and 64318 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64309 and 64318, than apply into the LCM equation.
GCF(64309,64318) = 1
LCM(64309,64318) = ( 64309 × 64318) / 1
LCM(64309,64318) = 4136226262 / 1
LCM(64309,64318) = 4136226262
Least Common Multiple (LCM) of 64309 and 64318 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64309 and 64318. First we will calculate the prime factors of 64309 and 64318.
Prime Factorization of 64309
Prime factors of 64309 are 7, 9187. Prime factorization of 64309 in exponential form is:
64309 = 71 × 91871
Prime Factorization of 64318
Prime factors of 64318 are 2, 32159. Prime factorization of 64318 in exponential form is:
64318 = 21 × 321591
Now multiplying the highest exponent prime factors to calculate the LCM of 64309 and 64318.
LCM(64309,64318) = 71 × 91871 × 21 × 321591
LCM(64309,64318) = 4136226262
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