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What is the Least Common Multiple of 69067 and 69080?

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 69067 and 69080 is 4771148360.

LCM(69067,69080) = 4771148360

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Least Common Multiple of 69067 and 69080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69067 and 69080, than apply into the LCM equation.

GCF(69067,69080) = 1
LCM(69067,69080) = ( 69067 × 69080) / 1
LCM(69067,69080) = 4771148360 / 1
LCM(69067,69080) = 4771148360

Least Common Multiple (LCM) of 69067 and 69080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69067 and 69080. First we will calculate the prime factors of 69067 and 69080.

Prime Factorization of 69067

Prime factors of 69067 are 69067. Prime factorization of 69067 in exponential form is:

69067 = 690671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 69067 and 69080.

LCM(69067,69080) = 690671 × 23 × 51 × 111 × 1571
LCM(69067,69080) = 4771148360