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What is the Least Common Multiple of 5905 and 5916?

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 5905 and 5916 is 34933980.

LCM(5905,5916) = 34933980

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Least Common Multiple of 5905 and 5916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5905 and 5916, than apply into the LCM equation.

GCF(5905,5916) = 1
LCM(5905,5916) = ( 5905 × 5916) / 1
LCM(5905,5916) = 34933980 / 1
LCM(5905,5916) = 34933980

Least Common Multiple (LCM) of 5905 and 5916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5905 and 5916. First we will calculate the prime factors of 5905 and 5916.

Prime Factorization of 5905

Prime factors of 5905 are 5, 1181. Prime factorization of 5905 in exponential form is:

5905 = 51 × 11811

Prime Factorization of 5916

Prime factors of 5916 are 2, 3, 17, 29. Prime factorization of 5916 in exponential form is:

5916 = 22 × 31 × 171 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 5905 and 5916.

LCM(5905,5916) = 51 × 11811 × 22 × 31 × 171 × 291
LCM(5905,5916) = 34933980