What is the Least Common Multiple of 64463 and 64482?
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 64463 and 64482 is 4156703166.
LCM(64463,64482) = 4156703166
Least Common Multiple of 64463 and 64482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64463 and 64482, than apply into the LCM equation.
GCF(64463,64482) = 1
LCM(64463,64482) = ( 64463 × 64482) / 1
LCM(64463,64482) = 4156703166 / 1
LCM(64463,64482) = 4156703166
Least Common Multiple (LCM) of 64463 and 64482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64463 and 64482. First we will calculate the prime factors of 64463 and 64482.
Prime Factorization of 64463
Prime factors of 64463 are 7, 9209. Prime factorization of 64463 in exponential form is:
64463 = 71 × 92091
Prime Factorization of 64482
Prime factors of 64482 are 2, 3, 11, 977. Prime factorization of 64482 in exponential form is:
64482 = 21 × 31 × 111 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 64463 and 64482.
LCM(64463,64482) = 71 × 92091 × 21 × 31 × 111 × 9771
LCM(64463,64482) = 4156703166
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