What is the Least Common Multiple of 41483 and 41501?
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 41483 and 41501 is 1721585983.
LCM(41483,41501) = 1721585983
Least Common Multiple of 41483 and 41501 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41483 and 41501, than apply into the LCM equation.
GCF(41483,41501) = 1
LCM(41483,41501) = ( 41483 × 41501) / 1
LCM(41483,41501) = 1721585983 / 1
LCM(41483,41501) = 1721585983
Least Common Multiple (LCM) of 41483 and 41501 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41483 and 41501. First we will calculate the prime factors of 41483 and 41501.
Prime Factorization of 41483
Prime factors of 41483 are 13, 3191. Prime factorization of 41483 in exponential form is:
41483 = 131 × 31911
Prime Factorization of 41501
Prime factors of 41501 are 47, 883. Prime factorization of 41501 in exponential form is:
41501 = 471 × 8831
Now multiplying the highest exponent prime factors to calculate the LCM of 41483 and 41501.
LCM(41483,41501) = 131 × 31911 × 471 × 8831
LCM(41483,41501) = 1721585983
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