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What is the Least Common Multiple of 59413 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 59413 and 59422 is 3530439286.

LCM(59413,59422) = 3530439286

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Least Common Multiple of 59413 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 59413 and 59422, than apply into the LCM equation.

GCF(59413,59422) = 1
LCM(59413,59422) = ( 59413 × 59422) / 1
LCM(59413,59422) = 3530439286 / 1
LCM(59413,59422) = 3530439286

Least Common Multiple (LCM) of 59413 and 59422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59413 and 59422. First we will calculate the prime factors of 59413 and 59422.

Prime Factorization of 59413

Prime factors of 59413 are 19, 53, 59. Prime factorization of 59413 in exponential form is:

59413 = 191 × 531 × 591

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 59413 and 59422.

LCM(59413,59422) = 191 × 531 × 591 × 21 × 111 × 371 × 731
LCM(59413,59422) = 3530439286