What is the Least Common Multiple of 41463 and 41481?
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 41463 and 41481 is 191102967.
LCM(41463,41481) = 191102967
Least Common Multiple of 41463 and 41481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41463 and 41481, than apply into the LCM equation.
GCF(41463,41481) = 9
LCM(41463,41481) = ( 41463 × 41481) / 9
LCM(41463,41481) = 1719926703 / 9
LCM(41463,41481) = 191102967
Least Common Multiple (LCM) of 41463 and 41481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41463 and 41481. First we will calculate the prime factors of 41463 and 41481.
Prime Factorization of 41463
Prime factors of 41463 are 3, 17, 271. Prime factorization of 41463 in exponential form is:
41463 = 32 × 171 × 2711
Prime Factorization of 41481
Prime factors of 41481 are 3, 11, 419. Prime factorization of 41481 in exponential form is:
41481 = 32 × 111 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 41463 and 41481.
LCM(41463,41481) = 32 × 171 × 2711 × 111 × 4191
LCM(41463,41481) = 191102967
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