What is the Least Common Multiple of 66718 and 66727?
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 66718 and 66727 is 4451891986.
LCM(66718,66727) = 4451891986
Least Common Multiple of 66718 and 66727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66718 and 66727, than apply into the LCM equation.
GCF(66718,66727) = 1
LCM(66718,66727) = ( 66718 × 66727) / 1
LCM(66718,66727) = 4451891986 / 1
LCM(66718,66727) = 4451891986
Least Common Multiple (LCM) of 66718 and 66727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66718 and 66727. First we will calculate the prime factors of 66718 and 66727.
Prime Factorization of 66718
Prime factors of 66718 are 2, 33359. Prime factorization of 66718 in exponential form is:
66718 = 21 × 333591
Prime Factorization of 66727
Prime factors of 66727 are 53, 1259. Prime factorization of 66727 in exponential form is:
66727 = 531 × 12591
Now multiplying the highest exponent prime factors to calculate the LCM of 66718 and 66727.
LCM(66718,66727) = 21 × 333591 × 531 × 12591
LCM(66718,66727) = 4451891986
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