What is the Least Common Multiple of 64482 and 64488?
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 64482 and 64488 is 693052536.
LCM(64482,64488) = 693052536
Least Common Multiple of 64482 and 64488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64482 and 64488, than apply into the LCM equation.
GCF(64482,64488) = 6
LCM(64482,64488) = ( 64482 × 64488) / 6
LCM(64482,64488) = 4158315216 / 6
LCM(64482,64488) = 693052536
Least Common Multiple (LCM) of 64482 and 64488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64482 and 64488. First we will calculate the prime factors of 64482 and 64488.
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
Prime Factorization of 64488
Prime factors of 64488 are 2, 3, 2687. Prime factorization of 64488 in exponential form is:
64488 = 23 × 31 × 26871
Now multiplying the highest exponent prime factors to calculate the LCM of 64482 and 64488.
LCM(64482,64488) = 23 × 31 × 111 × 9771 × 26871
LCM(64482,64488) = 693052536
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