What is the Least Common Multiple of 9455 and 9463?
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 9455 and 9463 is 89472665.
LCM(9455,9463) = 89472665
Least Common Multiple of 9455 and 9463 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9455 and 9463, than apply into the LCM equation.
GCF(9455,9463) = 1
LCM(9455,9463) = ( 9455 × 9463) / 1
LCM(9455,9463) = 89472665 / 1
LCM(9455,9463) = 89472665
Least Common Multiple (LCM) of 9455 and 9463 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9455 and 9463. First we will calculate the prime factors of 9455 and 9463.
Prime Factorization of 9455
Prime factors of 9455 are 5, 31, 61. Prime factorization of 9455 in exponential form is:
9455 = 51 × 311 × 611
Prime Factorization of 9463
Prime factors of 9463 are 9463. Prime factorization of 9463 in exponential form is:
9463 = 94631
Now multiplying the highest exponent prime factors to calculate the LCM of 9455 and 9463.
LCM(9455,9463) = 51 × 311 × 611 × 94631
LCM(9455,9463) = 89472665
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