What is the Least Common Multiple of 64461 and 64472?
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 64461 and 64472 is 4155929592.
LCM(64461,64472) = 4155929592
Least Common Multiple of 64461 and 64472 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64461 and 64472, than apply into the LCM equation.
GCF(64461,64472) = 1
LCM(64461,64472) = ( 64461 × 64472) / 1
LCM(64461,64472) = 4155929592 / 1
LCM(64461,64472) = 4155929592
Least Common Multiple (LCM) of 64461 and 64472 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64461 and 64472. First we will calculate the prime factors of 64461 and 64472.
Prime Factorization of 64461
Prime factors of 64461 are 3, 21487. Prime factorization of 64461 in exponential form is:
64461 = 31 × 214871
Prime Factorization of 64472
Prime factors of 64472 are 2, 8059. Prime factorization of 64472 in exponential form is:
64472 = 23 × 80591
Now multiplying the highest exponent prime factors to calculate the LCM of 64461 and 64472.
LCM(64461,64472) = 31 × 214871 × 23 × 80591
LCM(64461,64472) = 4155929592
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