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What is the Least Common Multiple of 59831 and 59851?

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 59831 and 59851 is 3580945181.

LCM(59831,59851) = 3580945181

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Least Common Multiple of 59831 and 59851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59831 and 59851, than apply into the LCM equation.

GCF(59831,59851) = 1
LCM(59831,59851) = ( 59831 × 59851) / 1
LCM(59831,59851) = 3580945181 / 1
LCM(59831,59851) = 3580945181

Least Common Multiple (LCM) of 59831 and 59851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59831 and 59851. First we will calculate the prime factors of 59831 and 59851.

Prime Factorization of 59831

Prime factors of 59831 are 19, 47, 67. Prime factorization of 59831 in exponential form is:

59831 = 191 × 471 × 671

Prime Factorization of 59851

Prime factors of 59851 are 11, 5441. Prime factorization of 59851 in exponential form is:

59851 = 111 × 54411

Now multiplying the highest exponent prime factors to calculate the LCM of 59831 and 59851.

LCM(59831,59851) = 191 × 471 × 671 × 111 × 54411
LCM(59831,59851) = 3580945181