What is the Least Common Multiple of 65386 and 65392?
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 65386 and 65392 is 2137860656.
LCM(65386,65392) = 2137860656
Least Common Multiple of 65386 and 65392 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65386 and 65392, than apply into the LCM equation.
GCF(65386,65392) = 2
LCM(65386,65392) = ( 65386 × 65392) / 2
LCM(65386,65392) = 4275721312 / 2
LCM(65386,65392) = 2137860656
Least Common Multiple (LCM) of 65386 and 65392 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65386 and 65392. First we will calculate the prime factors of 65386 and 65392.
Prime Factorization of 65386
Prime factors of 65386 are 2, 32693. Prime factorization of 65386 in exponential form is:
65386 = 21 × 326931
Prime Factorization of 65392
Prime factors of 65392 are 2, 61, 67. Prime factorization of 65392 in exponential form is:
65392 = 24 × 611 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 65386 and 65392.
LCM(65386,65392) = 24 × 326931 × 611 × 671
LCM(65386,65392) = 2137860656
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