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What is the Least Common Multiple of 41908 and 41922?

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 41922 is 878433588.

LCM(41908,41922) = 878433588

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Least Common Multiple of 41908 and 41922 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 41922, than apply into the LCM equation.

GCF(41908,41922) = 2
LCM(41908,41922) = ( 41908 × 41922) / 2
LCM(41908,41922) = 1756867176 / 2
LCM(41908,41922) = 878433588

Least Common Multiple (LCM) of 41908 and 41922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41908 and 41922. First we will calculate the prime factors of 41908 and 41922.

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 41922

Prime factors of 41922 are 2, 3, 17, 137. Prime factorization of 41922 in exponential form is:

41922 = 21 × 32 × 171 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 41908 and 41922.

LCM(41908,41922) = 22 × 104771 × 32 × 171 × 1371
LCM(41908,41922) = 878433588