What is the Least Common Multiple of 66729 and 66735?
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 66729 and 66735 is 1484386605.
LCM(66729,66735) = 1484386605
Least Common Multiple of 66729 and 66735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66729 and 66735, than apply into the LCM equation.
GCF(66729,66735) = 3
LCM(66729,66735) = ( 66729 × 66735) / 3
LCM(66729,66735) = 4453159815 / 3
LCM(66729,66735) = 1484386605
Least Common Multiple (LCM) of 66729 and 66735 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66729 and 66735. First we will calculate the prime factors of 66729 and 66735.
Prime Factorization of 66729
Prime factors of 66729 are 3, 13, 29, 59. Prime factorization of 66729 in exponential form is:
66729 = 31 × 131 × 291 × 591
Prime Factorization of 66735
Prime factors of 66735 are 3, 5, 1483. Prime factorization of 66735 in exponential form is:
66735 = 32 × 51 × 14831
Now multiplying the highest exponent prime factors to calculate the LCM of 66729 and 66735.
LCM(66729,66735) = 32 × 131 × 291 × 591 × 51 × 14831
LCM(66729,66735) = 1484386605
Related Least Common Multiples of 66729
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- LCM of 66729 and 66735
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- LCM of 66729 and 66745
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Related Least Common Multiples of 66735
- LCM of 66735 and 66739
- LCM of 66735 and 66740
- LCM of 66735 and 66741
- LCM of 66735 and 66742
- LCM of 66735 and 66743
- LCM of 66735 and 66744
- LCM of 66735 and 66745
- LCM of 66735 and 66746
- LCM of 66735 and 66747
- LCM of 66735 and 66748
- LCM of 66735 and 66749
- LCM of 66735 and 66750
- LCM of 66735 and 66751
- LCM of 66735 and 66752
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