What is the Least Common Multiple of 64234 and 64241?
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 64234 and 64241 is 4126456394.
LCM(64234,64241) = 4126456394
Least Common Multiple of 64234 and 64241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64234 and 64241, than apply into the LCM equation.
GCF(64234,64241) = 1
LCM(64234,64241) = ( 64234 × 64241) / 1
LCM(64234,64241) = 4126456394 / 1
LCM(64234,64241) = 4126456394
Least Common Multiple (LCM) of 64234 and 64241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64234 and 64241. First we will calculate the prime factors of 64234 and 64241.
Prime Factorization of 64234
Prime factors of 64234 are 2, 32117. Prime factorization of 64234 in exponential form is:
64234 = 21 × 321171
Prime Factorization of 64241
Prime factors of 64241 are 227, 283. Prime factorization of 64241 in exponential form is:
64241 = 2271 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 64234 and 64241.
LCM(64234,64241) = 21 × 321171 × 2271 × 2831
LCM(64234,64241) = 4126456394
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