What is the Least Common Multiple of 65565 and 65574?
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 65565 and 65574 is 477706590.
LCM(65565,65574) = 477706590
Least Common Multiple of 65565 and 65574 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65565 and 65574, than apply into the LCM equation.
GCF(65565,65574) = 9
LCM(65565,65574) = ( 65565 × 65574) / 9
LCM(65565,65574) = 4299359310 / 9
LCM(65565,65574) = 477706590
Least Common Multiple (LCM) of 65565 and 65574 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65565 and 65574. First we will calculate the prime factors of 65565 and 65574.
Prime Factorization of 65565
Prime factors of 65565 are 3, 5, 31, 47. Prime factorization of 65565 in exponential form is:
65565 = 32 × 51 × 311 × 471
Prime Factorization of 65574
Prime factors of 65574 are 2, 3, 3643. Prime factorization of 65574 in exponential form is:
65574 = 21 × 32 × 36431
Now multiplying the highest exponent prime factors to calculate the LCM of 65565 and 65574.
LCM(65565,65574) = 32 × 51 × 311 × 471 × 21 × 36431
LCM(65565,65574) = 477706590
Related Least Common Multiples of 65565
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Related Least Common Multiples of 65574
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- LCM of 65574 and 65584
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- LCM of 65574 and 65590
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