What is the Least Common Multiple of 66656 and 66663?
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 66656 and 66663 is 4443488928.
LCM(66656,66663) = 4443488928
Least Common Multiple of 66656 and 66663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66656 and 66663, than apply into the LCM equation.
GCF(66656,66663) = 1
LCM(66656,66663) = ( 66656 × 66663) / 1
LCM(66656,66663) = 4443488928 / 1
LCM(66656,66663) = 4443488928
Least Common Multiple (LCM) of 66656 and 66663 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66656 and 66663. First we will calculate the prime factors of 66656 and 66663.
Prime Factorization of 66656
Prime factors of 66656 are 2, 2083. Prime factorization of 66656 in exponential form is:
66656 = 25 × 20831
Prime Factorization of 66663
Prime factors of 66663 are 3, 823. Prime factorization of 66663 in exponential form is:
66663 = 34 × 8231
Now multiplying the highest exponent prime factors to calculate the LCM of 66656 and 66663.
LCM(66656,66663) = 25 × 20831 × 34 × 8231
LCM(66656,66663) = 4443488928
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