What is the Least Common Multiple of 65849 and 65858?
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 65849 and 65858 is 4336683442.
LCM(65849,65858) = 4336683442
Least Common Multiple of 65849 and 65858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65849 and 65858, than apply into the LCM equation.
GCF(65849,65858) = 1
LCM(65849,65858) = ( 65849 × 65858) / 1
LCM(65849,65858) = 4336683442 / 1
LCM(65849,65858) = 4336683442
Least Common Multiple (LCM) of 65849 and 65858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65849 and 65858. First we will calculate the prime factors of 65849 and 65858.
Prime Factorization of 65849
Prime factors of 65849 are 7, 23, 409. Prime factorization of 65849 in exponential form is:
65849 = 71 × 231 × 4091
Prime Factorization of 65858
Prime factors of 65858 are 2, 13, 17, 149. Prime factorization of 65858 in exponential form is:
65858 = 21 × 131 × 171 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 65849 and 65858.
LCM(65849,65858) = 71 × 231 × 4091 × 21 × 131 × 171 × 1491
LCM(65849,65858) = 4336683442
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