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What is the Least Common Multiple of 60917 and 60933?

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 60917 and 60933 is 3711855561.

LCM(60917,60933) = 3711855561

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Least Common Multiple of 60917 and 60933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60917 and 60933, than apply into the LCM equation.

GCF(60917,60933) = 1
LCM(60917,60933) = ( 60917 × 60933) / 1
LCM(60917,60933) = 3711855561 / 1
LCM(60917,60933) = 3711855561

Least Common Multiple (LCM) of 60917 and 60933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60917 and 60933. First we will calculate the prime factors of 60917 and 60933.

Prime Factorization of 60917

Prime factors of 60917 are 60917. Prime factorization of 60917 in exponential form is:

60917 = 609171

Prime Factorization of 60933

Prime factors of 60933 are 3, 19, 1069. Prime factorization of 60933 in exponential form is:

60933 = 31 × 191 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 60917 and 60933.

LCM(60917,60933) = 609171 × 31 × 191 × 10691
LCM(60917,60933) = 3711855561