What is the Least Common Multiple of 64231 and 64238?
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 64231 and 64238 is 4126070978.
LCM(64231,64238) = 4126070978
Least Common Multiple of 64231 and 64238 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64231 and 64238, than apply into the LCM equation.
GCF(64231,64238) = 1
LCM(64231,64238) = ( 64231 × 64238) / 1
LCM(64231,64238) = 4126070978 / 1
LCM(64231,64238) = 4126070978
Least Common Multiple (LCM) of 64231 and 64238 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64231 and 64238. First we will calculate the prime factors of 64231 and 64238.
Prime Factorization of 64231
Prime factors of 64231 are 64231. Prime factorization of 64231 in exponential form is:
64231 = 642311
Prime Factorization of 64238
Prime factors of 64238 are 2, 32119. Prime factorization of 64238 in exponential form is:
64238 = 21 × 321191
Now multiplying the highest exponent prime factors to calculate the LCM of 64231 and 64238.
LCM(64231,64238) = 642311 × 21 × 321191
LCM(64231,64238) = 4126070978
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