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What is the Least Common Multiple of 59405 and 59422?

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 59405 and 59422 is 3529963910.

LCM(59405,59422) = 3529963910

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Least Common Multiple of 59405 and 59422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59405 and 59422, than apply into the LCM equation.

GCF(59405,59422) = 1
LCM(59405,59422) = ( 59405 × 59422) / 1
LCM(59405,59422) = 3529963910 / 1
LCM(59405,59422) = 3529963910

Least Common Multiple (LCM) of 59405 and 59422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59405 and 59422. First we will calculate the prime factors of 59405 and 59422.

Prime Factorization of 59405

Prime factors of 59405 are 5, 109. Prime factorization of 59405 in exponential form is:

59405 = 51 × 1092

Prime Factorization of 59422

Prime factors of 59422 are 2, 11, 37, 73. Prime factorization of 59422 in exponential form is:

59422 = 21 × 111 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 59405 and 59422.

LCM(59405,59422) = 51 × 1092 × 21 × 111 × 371 × 731
LCM(59405,59422) = 3529963910