What is the Least Common Multiple of 41482 and 41495?
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 41482 and 41495 is 1721295590.
LCM(41482,41495) = 1721295590
Least Common Multiple of 41482 and 41495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41482 and 41495, than apply into the LCM equation.
GCF(41482,41495) = 1
LCM(41482,41495) = ( 41482 × 41495) / 1
LCM(41482,41495) = 1721295590 / 1
LCM(41482,41495) = 1721295590
Least Common Multiple (LCM) of 41482 and 41495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41482 and 41495. First we will calculate the prime factors of 41482 and 41495.
Prime Factorization of 41482
Prime factors of 41482 are 2, 7, 2963. Prime factorization of 41482 in exponential form is:
41482 = 21 × 71 × 29631
Prime Factorization of 41495
Prime factors of 41495 are 5, 43, 193. Prime factorization of 41495 in exponential form is:
41495 = 51 × 431 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 41482 and 41495.
LCM(41482,41495) = 21 × 71 × 29631 × 51 × 431 × 1931
LCM(41482,41495) = 1721295590
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