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What is the Least Common Multiple of 69080 and 69085?

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 69080 and 69085 is 954478360.

LCM(69080,69085) = 954478360

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Least Common Multiple of 69080 and 69085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69080 and 69085, than apply into the LCM equation.

GCF(69080,69085) = 5
LCM(69080,69085) = ( 69080 × 69085) / 5
LCM(69080,69085) = 4772391800 / 5
LCM(69080,69085) = 954478360

Least Common Multiple (LCM) of 69080 and 69085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69080 and 69085. First we will calculate the prime factors of 69080 and 69085.

Prime Factorization of 69080

Prime factors of 69080 are 2, 5, 11, 157. Prime factorization of 69080 in exponential form is:

69080 = 23 × 51 × 111 × 1571

Prime Factorization of 69085

Prime factors of 69085 are 5, 41, 337. Prime factorization of 69085 in exponential form is:

69085 = 51 × 411 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 69080 and 69085.

LCM(69080,69085) = 23 × 51 × 111 × 1571 × 411 × 3371
LCM(69080,69085) = 954478360