What is the Least Common Multiple of 66866 and 66875?
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 66866 and 66875 is 4471663750.
LCM(66866,66875) = 4471663750
Least Common Multiple of 66866 and 66875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66866 and 66875, than apply into the LCM equation.
GCF(66866,66875) = 1
LCM(66866,66875) = ( 66866 × 66875) / 1
LCM(66866,66875) = 4471663750 / 1
LCM(66866,66875) = 4471663750
Least Common Multiple (LCM) of 66866 and 66875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66866 and 66875. First we will calculate the prime factors of 66866 and 66875.
Prime Factorization of 66866
Prime factors of 66866 are 2, 67, 499. Prime factorization of 66866 in exponential form is:
66866 = 21 × 671 × 4991
Prime Factorization of 66875
Prime factors of 66875 are 5, 107. Prime factorization of 66875 in exponential form is:
66875 = 54 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 66866 and 66875.
LCM(66866,66875) = 21 × 671 × 4991 × 54 × 1071
LCM(66866,66875) = 4471663750
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Related Least Common Multiples of 66875
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