What is the Least Common Multiple of 64316 and 64322?
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 64316 and 64322 is 2068466876.
LCM(64316,64322) = 2068466876
Least Common Multiple of 64316 and 64322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64316 and 64322, than apply into the LCM equation.
GCF(64316,64322) = 2
LCM(64316,64322) = ( 64316 × 64322) / 2
LCM(64316,64322) = 4136933752 / 2
LCM(64316,64322) = 2068466876
Least Common Multiple (LCM) of 64316 and 64322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64316 and 64322. First we will calculate the prime factors of 64316 and 64322.
Prime Factorization of 64316
Prime factors of 64316 are 2, 7, 2297. Prime factorization of 64316 in exponential form is:
64316 = 22 × 71 × 22971
Prime Factorization of 64322
Prime factors of 64322 are 2, 29, 1109. Prime factorization of 64322 in exponential form is:
64322 = 21 × 291 × 11091
Now multiplying the highest exponent prime factors to calculate the LCM of 64316 and 64322.
LCM(64316,64322) = 22 × 71 × 22971 × 291 × 11091
LCM(64316,64322) = 2068466876
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Related Least Common Multiples of 64322
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