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What is the Least Common Multiple of 59911 and 59922?

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 59911 and 59922 is 3589986942.

LCM(59911,59922) = 3589986942

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Least Common Multiple of 59911 and 59922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59911 and 59922, than apply into the LCM equation.

GCF(59911,59922) = 1
LCM(59911,59922) = ( 59911 × 59922) / 1
LCM(59911,59922) = 3589986942 / 1
LCM(59911,59922) = 3589986942

Least Common Multiple (LCM) of 59911 and 59922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59911 and 59922. First we will calculate the prime factors of 59911 and 59922.

Prime Factorization of 59911

Prime factors of 59911 are 181, 331. Prime factorization of 59911 in exponential form is:

59911 = 1811 × 3311

Prime Factorization of 59922

Prime factors of 59922 are 2, 3, 3329. Prime factorization of 59922 in exponential form is:

59922 = 21 × 32 × 33291

Now multiplying the highest exponent prime factors to calculate the LCM of 59911 and 59922.

LCM(59911,59922) = 1811 × 3311 × 21 × 32 × 33291
LCM(59911,59922) = 3589986942