What is the Least Common Multiple of 66753 and 66771?
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 66753 and 66771 is 495240507.
LCM(66753,66771) = 495240507
Least Common Multiple of 66753 and 66771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66753 and 66771, than apply into the LCM equation.
GCF(66753,66771) = 9
LCM(66753,66771) = ( 66753 × 66771) / 9
LCM(66753,66771) = 4457164563 / 9
LCM(66753,66771) = 495240507
Least Common Multiple (LCM) of 66753 and 66771 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66753 and 66771. First we will calculate the prime factors of 66753 and 66771.
Prime Factorization of 66753
Prime factors of 66753 are 3, 7417. Prime factorization of 66753 in exponential form is:
66753 = 32 × 74171
Prime Factorization of 66771
Prime factors of 66771 are 3, 2473. Prime factorization of 66771 in exponential form is:
66771 = 33 × 24731
Now multiplying the highest exponent prime factors to calculate the LCM of 66753 and 66771.
LCM(66753,66771) = 33 × 74171 × 24731
LCM(66753,66771) = 495240507
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