What is the Least Common Multiple of 65727 and 65733?
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 65727 and 65733 is 1440144297.
LCM(65727,65733) = 1440144297
Least Common Multiple of 65727 and 65733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65727 and 65733, than apply into the LCM equation.
GCF(65727,65733) = 3
LCM(65727,65733) = ( 65727 × 65733) / 3
LCM(65727,65733) = 4320432891 / 3
LCM(65727,65733) = 1440144297
Least Common Multiple (LCM) of 65727 and 65733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65727 and 65733. First we will calculate the prime factors of 65727 and 65733.
Prime Factorization of 65727
Prime factors of 65727 are 3, 67, 109. Prime factorization of 65727 in exponential form is:
65727 = 32 × 671 × 1091
Prime Factorization of 65733
Prime factors of 65733 are 3, 21911. Prime factorization of 65733 in exponential form is:
65733 = 31 × 219111
Now multiplying the highest exponent prime factors to calculate the LCM of 65727 and 65733.
LCM(65727,65733) = 32 × 671 × 1091 × 219111
LCM(65727,65733) = 1440144297
Related Least Common Multiples of 65727
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Related Least Common Multiples of 65733
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- LCM of 65733 and 65747
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- LCM of 65733 and 65752
- LCM of 65733 and 65753