What is the Least Common Multiple of 41332 and 41348?
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 41332 and 41348 is 427248884.
LCM(41332,41348) = 427248884
Least Common Multiple of 41332 and 41348 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41332 and 41348, than apply into the LCM equation.
GCF(41332,41348) = 4
LCM(41332,41348) = ( 41332 × 41348) / 4
LCM(41332,41348) = 1708995536 / 4
LCM(41332,41348) = 427248884
Least Common Multiple (LCM) of 41332 and 41348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41332 and 41348. First we will calculate the prime factors of 41332 and 41348.
Prime Factorization of 41332
Prime factors of 41332 are 2, 10333. Prime factorization of 41332 in exponential form is:
41332 = 22 × 103331
Prime Factorization of 41348
Prime factors of 41348 are 2, 10337. Prime factorization of 41348 in exponential form is:
41348 = 22 × 103371
Now multiplying the highest exponent prime factors to calculate the LCM of 41332 and 41348.
LCM(41332,41348) = 22 × 103331 × 103371
LCM(41332,41348) = 427248884
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