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What is the Least Common Multiple of 80377 and 80394?

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 80377 and 80394 is 6461828538.

LCM(80377,80394) = 6461828538

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Least Common Multiple of 80377 and 80394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80377 and 80394, than apply into the LCM equation.

GCF(80377,80394) = 1
LCM(80377,80394) = ( 80377 × 80394) / 1
LCM(80377,80394) = 6461828538 / 1
LCM(80377,80394) = 6461828538

Least Common Multiple (LCM) of 80377 and 80394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80377 and 80394. First we will calculate the prime factors of 80377 and 80394.

Prime Factorization of 80377

Prime factors of 80377 are 11, 7307. Prime factorization of 80377 in exponential form is:

80377 = 111 × 73071

Prime Factorization of 80394

Prime factors of 80394 are 2, 3, 13399. Prime factorization of 80394 in exponential form is:

80394 = 21 × 31 × 133991

Now multiplying the highest exponent prime factors to calculate the LCM of 80377 and 80394.

LCM(80377,80394) = 111 × 73071 × 21 × 31 × 133991
LCM(80377,80394) = 6461828538