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What is the Least Common Multiple of 59756 and 59773?

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 59756 and 59773 is 3571795388.

LCM(59756,59773) = 3571795388

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Least Common Multiple of 59756 and 59773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59756 and 59773, than apply into the LCM equation.

GCF(59756,59773) = 1
LCM(59756,59773) = ( 59756 × 59773) / 1
LCM(59756,59773) = 3571795388 / 1
LCM(59756,59773) = 3571795388

Least Common Multiple (LCM) of 59756 and 59773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59756 and 59773. First we will calculate the prime factors of 59756 and 59773.

Prime Factorization of 59756

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

59756 = 22 × 149391

Prime Factorization of 59773

Prime factors of 59773 are 7, 8539. Prime factorization of 59773 in exponential form is:

59773 = 71 × 85391

Now multiplying the highest exponent prime factors to calculate the LCM of 59756 and 59773.

LCM(59756,59773) = 22 × 149391 × 71 × 85391
LCM(59756,59773) = 3571795388