What is the Least Common Multiple of 64440 and 64447?
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 64440 and 64447 is 4152964680.
LCM(64440,64447) = 4152964680
Least Common Multiple of 64440 and 64447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64440 and 64447, than apply into the LCM equation.
GCF(64440,64447) = 1
LCM(64440,64447) = ( 64440 × 64447) / 1
LCM(64440,64447) = 4152964680 / 1
LCM(64440,64447) = 4152964680
Least Common Multiple (LCM) of 64440 and 64447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64440 and 64447. First we will calculate the prime factors of 64440 and 64447.
Prime Factorization of 64440
Prime factors of 64440 are 2, 3, 5, 179. Prime factorization of 64440 in exponential form is:
64440 = 23 × 32 × 51 × 1791
Prime Factorization of 64447
Prime factors of 64447 are 17, 223. Prime factorization of 64447 in exponential form is:
64447 = 172 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 64440 and 64447.
LCM(64440,64447) = 23 × 32 × 51 × 1791 × 172 × 2231
LCM(64440,64447) = 4152964680
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