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What is the Least Common Multiple of 53809 and 53813?

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 53809 and 53813 is 2895623717.

LCM(53809,53813) = 2895623717

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Least Common Multiple of 53809 and 53813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53809 and 53813, than apply into the LCM equation.

GCF(53809,53813) = 1
LCM(53809,53813) = ( 53809 × 53813) / 1
LCM(53809,53813) = 2895623717 / 1
LCM(53809,53813) = 2895623717

Least Common Multiple (LCM) of 53809 and 53813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53809 and 53813. First we will calculate the prime factors of 53809 and 53813.

Prime Factorization of 53809

Prime factors of 53809 are 7, 7687. Prime factorization of 53809 in exponential form is:

53809 = 71 × 76871

Prime Factorization of 53813

Prime factors of 53813 are 53813. Prime factorization of 53813 in exponential form is:

53813 = 538131

Now multiplying the highest exponent prime factors to calculate the LCM of 53809 and 53813.

LCM(53809,53813) = 71 × 76871 × 538131
LCM(53809,53813) = 2895623717