What is the Least Common Multiple of 41455 and 41463?
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 41455 and 41463 is 1718848665.
LCM(41455,41463) = 1718848665
Least Common Multiple of 41455 and 41463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41455 and 41463, than apply into the LCM equation.
GCF(41455,41463) = 1
LCM(41455,41463) = ( 41455 × 41463) / 1
LCM(41455,41463) = 1718848665 / 1
LCM(41455,41463) = 1718848665
Least Common Multiple (LCM) of 41455 and 41463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41455 and 41463. First we will calculate the prime factors of 41455 and 41463.
Prime Factorization of 41455
Prime factors of 41455 are 5, 8291. Prime factorization of 41455 in exponential form is:
41455 = 51 × 82911
Prime Factorization of 41463
Prime factors of 41463 are 3, 17, 271. Prime factorization of 41463 in exponential form is:
41463 = 32 × 171 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 41455 and 41463.
LCM(41455,41463) = 51 × 82911 × 32 × 171 × 2711
LCM(41455,41463) = 1718848665
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