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What is the Least Common Multiple of 51818 and 51826?

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 51818 and 51826 is 1342759834.

LCM(51818,51826) = 1342759834

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Least Common Multiple of 51818 and 51826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51818 and 51826, than apply into the LCM equation.

GCF(51818,51826) = 2
LCM(51818,51826) = ( 51818 × 51826) / 2
LCM(51818,51826) = 2685519668 / 2
LCM(51818,51826) = 1342759834

Least Common Multiple (LCM) of 51818 and 51826 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51818 and 51826. First we will calculate the prime factors of 51818 and 51826.

Prime Factorization of 51818

Prime factors of 51818 are 2, 13, 1993. Prime factorization of 51818 in exponential form is:

51818 = 21 × 131 × 19931

Prime Factorization of 51826

Prime factors of 51826 are 2, 25913. Prime factorization of 51826 in exponential form is:

51826 = 21 × 259131

Now multiplying the highest exponent prime factors to calculate the LCM of 51818 and 51826.

LCM(51818,51826) = 21 × 131 × 19931 × 259131
LCM(51818,51826) = 1342759834