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What is the Least Common Multiple of 69 and 80?

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 69 and 80 is 5520.

LCM(69,80) = 5520

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Least Common Multiple of 69 and 80 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69 and 80, than apply into the LCM equation.

GCF(69,80) = 1
LCM(69,80) = ( 69 × 80) / 1
LCM(69,80) = 5520 / 1
LCM(69,80) = 5520

Least Common Multiple (LCM) of 69 and 80 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69 and 80. First we will calculate the prime factors of 69 and 80.

Prime Factorization of 69

Prime factors of 69 are 3, 23. Prime factorization of 69 in exponential form is:

69 = 31 × 231

Prime Factorization of 80

Prime factors of 80 are 2, 5. Prime factorization of 80 in exponential form is:

80 = 24 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 69 and 80.

LCM(69,80) = 31 × 231 × 24 × 51
LCM(69,80) = 5520

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