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What is the Least Common Multiple of 80366 and 80377?

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 80366 and 80377 is 587234362.

LCM(80366,80377) = 587234362

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Least Common Multiple of 80366 and 80377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80366 and 80377, than apply into the LCM equation.

GCF(80366,80377) = 11
LCM(80366,80377) = ( 80366 × 80377) / 11
LCM(80366,80377) = 6459577982 / 11
LCM(80366,80377) = 587234362

Least Common Multiple (LCM) of 80366 and 80377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80366 and 80377. First we will calculate the prime factors of 80366 and 80377.

Prime Factorization of 80366

Prime factors of 80366 are 2, 11, 13, 281. Prime factorization of 80366 in exponential form is:

80366 = 21 × 111 × 131 × 2811

Prime Factorization of 80377

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

80377 = 111 × 73071

Now multiplying the highest exponent prime factors to calculate the LCM of 80366 and 80377.

LCM(80366,80377) = 21 × 111 × 131 × 2811 × 73071
LCM(80366,80377) = 587234362