What is the Least Common Multiple of 65737 and 65752?
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 65737 and 65752 is 4322339224.
LCM(65737,65752) = 4322339224
Least Common Multiple of 65737 and 65752 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65737 and 65752, than apply into the LCM equation.
GCF(65737,65752) = 1
LCM(65737,65752) = ( 65737 × 65752) / 1
LCM(65737,65752) = 4322339224 / 1
LCM(65737,65752) = 4322339224
Least Common Multiple (LCM) of 65737 and 65752 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65737 and 65752. First we will calculate the prime factors of 65737 and 65752.
Prime Factorization of 65737
Prime factors of 65737 are 7, 9391. Prime factorization of 65737 in exponential form is:
65737 = 71 × 93911
Prime Factorization of 65752
Prime factors of 65752 are 2, 8219. Prime factorization of 65752 in exponential form is:
65752 = 23 × 82191
Now multiplying the highest exponent prime factors to calculate the LCM of 65737 and 65752.
LCM(65737,65752) = 71 × 93911 × 23 × 82191
LCM(65737,65752) = 4322339224
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