What is the Least Common Multiple of 64423 and 64436?
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 64423 and 64436 is 4151160428.
LCM(64423,64436) = 4151160428
Least Common Multiple of 64423 and 64436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64423 and 64436, than apply into the LCM equation.
GCF(64423,64436) = 1
LCM(64423,64436) = ( 64423 × 64436) / 1
LCM(64423,64436) = 4151160428 / 1
LCM(64423,64436) = 4151160428
Least Common Multiple (LCM) of 64423 and 64436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64423 and 64436. First we will calculate the prime factors of 64423 and 64436.
Prime Factorization of 64423
Prime factors of 64423 are 23, 2801. Prime factorization of 64423 in exponential form is:
64423 = 231 × 28011
Prime Factorization of 64436
Prime factors of 64436 are 2, 89, 181. Prime factorization of 64436 in exponential form is:
64436 = 22 × 891 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 64423 and 64436.
LCM(64423,64436) = 231 × 28011 × 22 × 891 × 1811
LCM(64423,64436) = 4151160428
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