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What is the Least Common Multiple of 65377 and 65381?

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 65377 and 65381 is 4274413637.

LCM(65377,65381) = 4274413637

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Least Common Multiple of 65377 and 65381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65377 and 65381, than apply into the LCM equation.

GCF(65377,65381) = 1
LCM(65377,65381) = ( 65377 × 65381) / 1
LCM(65377,65381) = 4274413637 / 1
LCM(65377,65381) = 4274413637

Least Common Multiple (LCM) of 65377 and 65381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65377 and 65381. First we will calculate the prime factors of 65377 and 65381.

Prime Factorization of 65377

Prime factors of 65377 are 13, 47, 107. Prime factorization of 65377 in exponential form is:

65377 = 131 × 471 × 1071

Prime Factorization of 65381

Prime factors of 65381 are 65381. Prime factorization of 65381 in exponential form is:

65381 = 653811

Now multiplying the highest exponent prime factors to calculate the LCM of 65377 and 65381.

LCM(65377,65381) = 131 × 471 × 1071 × 653811
LCM(65377,65381) = 4274413637