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What is the Least Common Multiple of 53377 and 53381?

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 53377 and 53381 is 2849317637.

LCM(53377,53381) = 2849317637

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Least Common Multiple of 53377 and 53381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53377 and 53381, than apply into the LCM equation.

GCF(53377,53381) = 1
LCM(53377,53381) = ( 53377 × 53381) / 1
LCM(53377,53381) = 2849317637 / 1
LCM(53377,53381) = 2849317637

Least Common Multiple (LCM) of 53377 and 53381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53377 and 53381. First we will calculate the prime factors of 53377 and 53381.

Prime Factorization of 53377

Prime factors of 53377 are 53377. Prime factorization of 53377 in exponential form is:

53377 = 533771

Prime Factorization of 53381

Prime factors of 53381 are 53381. Prime factorization of 53381 in exponential form is:

53381 = 533811

Now multiplying the highest exponent prime factors to calculate the LCM of 53377 and 53381.

LCM(53377,53381) = 533771 × 533811
LCM(53377,53381) = 2849317637