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What is the Least Common Multiple of 59737 and 59756?

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 59737 and 59756 is 3569644172.

LCM(59737,59756) = 3569644172

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Least Common Multiple of 59737 and 59756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59737 and 59756, than apply into the LCM equation.

GCF(59737,59756) = 1
LCM(59737,59756) = ( 59737 × 59756) / 1
LCM(59737,59756) = 3569644172 / 1
LCM(59737,59756) = 3569644172

Least Common Multiple (LCM) of 59737 and 59756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59737 and 59756. First we will calculate the prime factors of 59737 and 59756.

Prime Factorization of 59737

Prime factors of 59737 are 31, 41, 47. Prime factorization of 59737 in exponential form is:

59737 = 311 × 411 × 471

Prime Factorization of 59756

Prime factors of 59756 are 2, 14939. Prime factorization of 59756 in exponential form is:

59756 = 22 × 149391

Now multiplying the highest exponent prime factors to calculate the LCM of 59737 and 59756.

LCM(59737,59756) = 311 × 411 × 471 × 22 × 149391
LCM(59737,59756) = 3569644172