What is the Least Common Multiple of 64430 and 64443?
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 64430 and 64443 is 4152062490.
LCM(64430,64443) = 4152062490
Least Common Multiple of 64430 and 64443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64430 and 64443, than apply into the LCM equation.
GCF(64430,64443) = 1
LCM(64430,64443) = ( 64430 × 64443) / 1
LCM(64430,64443) = 4152062490 / 1
LCM(64430,64443) = 4152062490
Least Common Multiple (LCM) of 64430 and 64443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64430 and 64443. First we will calculate the prime factors of 64430 and 64443.
Prime Factorization of 64430
Prime factors of 64430 are 2, 5, 17, 379. Prime factorization of 64430 in exponential form is:
64430 = 21 × 51 × 171 × 3791
Prime Factorization of 64443
Prime factors of 64443 are 3, 21481. Prime factorization of 64443 in exponential form is:
64443 = 31 × 214811
Now multiplying the highest exponent prime factors to calculate the LCM of 64430 and 64443.
LCM(64430,64443) = 21 × 51 × 171 × 3791 × 31 × 214811
LCM(64430,64443) = 4152062490
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