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What is the Least Common Multiple of 62036 and 62053?

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 62036 and 62053 is 3849519908.

LCM(62036,62053) = 3849519908

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Least Common Multiple of 62036 and 62053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62036 and 62053, than apply into the LCM equation.

GCF(62036,62053) = 1
LCM(62036,62053) = ( 62036 × 62053) / 1
LCM(62036,62053) = 3849519908 / 1
LCM(62036,62053) = 3849519908

Least Common Multiple (LCM) of 62036 and 62053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62036 and 62053. First we will calculate the prime factors of 62036 and 62053.

Prime Factorization of 62036

Prime factors of 62036 are 2, 13, 1193. Prime factorization of 62036 in exponential form is:

62036 = 22 × 131 × 11931

Prime Factorization of 62053

Prime factors of 62053 are 62053. Prime factorization of 62053 in exponential form is:

62053 = 620531

Now multiplying the highest exponent prime factors to calculate the LCM of 62036 and 62053.

LCM(62036,62053) = 22 × 131 × 11931 × 620531
LCM(62036,62053) = 3849519908