What is the Least Common Multiple of 65749 and 65760?
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 65749 and 65760 is 4323654240.
LCM(65749,65760) = 4323654240
Least Common Multiple of 65749 and 65760 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65749 and 65760, than apply into the LCM equation.
GCF(65749,65760) = 1
LCM(65749,65760) = ( 65749 × 65760) / 1
LCM(65749,65760) = 4323654240 / 1
LCM(65749,65760) = 4323654240
Least Common Multiple (LCM) of 65749 and 65760 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65749 and 65760. First we will calculate the prime factors of 65749 and 65760.
Prime Factorization of 65749
Prime factors of 65749 are 37, 1777. Prime factorization of 65749 in exponential form is:
65749 = 371 × 17771
Prime Factorization of 65760
Prime factors of 65760 are 2, 3, 5, 137. Prime factorization of 65760 in exponential form is:
65760 = 25 × 31 × 51 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 65749 and 65760.
LCM(65749,65760) = 371 × 17771 × 25 × 31 × 51 × 1371
LCM(65749,65760) = 4323654240
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