What is the Least Common Multiple of 66718 and 66737?
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 66737 is 4452559166.
LCM(66718,66737) = 4452559166
Least Common Multiple of 66718 and 66737 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 66737, than apply into the LCM equation.
GCF(66718,66737) = 1
LCM(66718,66737) = ( 66718 × 66737) / 1
LCM(66718,66737) = 4452559166 / 1
LCM(66718,66737) = 4452559166
Least Common Multiple (LCM) of 66718 and 66737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66718 and 66737. First we will calculate the prime factors of 66718 and 66737.
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 66737
Prime factors of 66737 are 11, 6067. Prime factorization of 66737 in exponential form is:
66737 = 111 × 60671
Now multiplying the highest exponent prime factors to calculate the LCM of 66718 and 66737.
LCM(66718,66737) = 21 × 333591 × 111 × 60671
LCM(66718,66737) = 4452559166
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