What is the Least Common Multiple of 66858 and 66864?
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 66858 and 66864 is 745065552.
LCM(66858,66864) = 745065552
Least Common Multiple of 66858 and 66864 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66858 and 66864, than apply into the LCM equation.
GCF(66858,66864) = 6
LCM(66858,66864) = ( 66858 × 66864) / 6
LCM(66858,66864) = 4470393312 / 6
LCM(66858,66864) = 745065552
Least Common Multiple (LCM) of 66858 and 66864 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66858 and 66864. First we will calculate the prime factors of 66858 and 66864.
Prime Factorization of 66858
Prime factors of 66858 are 2, 3, 11, 1013. Prime factorization of 66858 in exponential form is:
66858 = 21 × 31 × 111 × 10131
Prime Factorization of 66864
Prime factors of 66864 are 2, 3, 7, 199. Prime factorization of 66864 in exponential form is:
66864 = 24 × 31 × 71 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 66858 and 66864.
LCM(66858,66864) = 24 × 31 × 111 × 10131 × 71 × 1991
LCM(66858,66864) = 745065552
Related Least Common Multiples of 66858
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Related Least Common Multiples of 66864
- LCM of 66864 and 66868
- LCM of 66864 and 66869
- LCM of 66864 and 66870
- LCM of 66864 and 66871
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