What is the Least Common Multiple of 41908 and 41925?
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 41908 and 41925 is 1756992900.
LCM(41908,41925) = 1756992900
Least Common Multiple of 41908 and 41925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41908 and 41925, than apply into the LCM equation.
GCF(41908,41925) = 1
LCM(41908,41925) = ( 41908 × 41925) / 1
LCM(41908,41925) = 1756992900 / 1
LCM(41908,41925) = 1756992900
Least Common Multiple (LCM) of 41908 and 41925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41908 and 41925. First we will calculate the prime factors of 41908 and 41925.
Prime Factorization of 41908
Prime factors of 41908 are 2, 10477. Prime factorization of 41908 in exponential form is:
41908 = 22 × 104771
Prime Factorization of 41925
Prime factors of 41925 are 3, 5, 13, 43. Prime factorization of 41925 in exponential form is:
41925 = 31 × 52 × 131 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 41908 and 41925.
LCM(41908,41925) = 22 × 104771 × 31 × 52 × 131 × 431
LCM(41908,41925) = 1756992900
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