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What is the Least Common Multiple of 59441 and 59455?

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 59441 and 59455 is 3534064655.

LCM(59441,59455) = 3534064655

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Least Common Multiple of 59441 and 59455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59441 and 59455, than apply into the LCM equation.

GCF(59441,59455) = 1
LCM(59441,59455) = ( 59441 × 59455) / 1
LCM(59441,59455) = 3534064655 / 1
LCM(59441,59455) = 3534064655

Least Common Multiple (LCM) of 59441 and 59455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59441 and 59455. First we will calculate the prime factors of 59441 and 59455.

Prime Factorization of 59441

Prime factors of 59441 are 59441. Prime factorization of 59441 in exponential form is:

59441 = 594411

Prime Factorization of 59455

Prime factors of 59455 are 5, 11, 23, 47. Prime factorization of 59455 in exponential form is:

59455 = 51 × 111 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 59441 and 59455.

LCM(59441,59455) = 594411 × 51 × 111 × 231 × 471
LCM(59441,59455) = 3534064655