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What is the Least Common Multiple of 61993 and 62010?

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 61993 and 62010 is 3844185930.

LCM(61993,62010) = 3844185930

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Least Common Multiple of 61993 and 62010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61993 and 62010, than apply into the LCM equation.

GCF(61993,62010) = 1
LCM(61993,62010) = ( 61993 × 62010) / 1
LCM(61993,62010) = 3844185930 / 1
LCM(61993,62010) = 3844185930

Least Common Multiple (LCM) of 61993 and 62010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61993 and 62010. First we will calculate the prime factors of 61993 and 62010.

Prime Factorization of 61993

Prime factors of 61993 are 47, 1319. Prime factorization of 61993 in exponential form is:

61993 = 471 × 13191

Prime Factorization of 62010

Prime factors of 62010 are 2, 3, 5, 13, 53. Prime factorization of 62010 in exponential form is:

62010 = 21 × 32 × 51 × 131 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 61993 and 62010.

LCM(61993,62010) = 471 × 13191 × 21 × 32 × 51 × 131 × 531
LCM(61993,62010) = 3844185930