What is the Least Common Multiple of 66718 and 66734?
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 66734 is 2226179506.
LCM(66718,66734) = 2226179506
Least Common Multiple of 66718 and 66734 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 66734, than apply into the LCM equation.
GCF(66718,66734) = 2
LCM(66718,66734) = ( 66718 × 66734) / 2
LCM(66718,66734) = 4452359012 / 2
LCM(66718,66734) = 2226179506
Least Common Multiple (LCM) of 66718 and 66734 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66718 and 66734. First we will calculate the prime factors of 66718 and 66734.
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 66734
Prime factors of 66734 are 2, 61, 547. Prime factorization of 66734 in exponential form is:
66734 = 21 × 611 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 66718 and 66734.
LCM(66718,66734) = 21 × 333591 × 611 × 5471
LCM(66718,66734) = 2226179506
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