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What is the Least Common Multiple of 69055 and 69067?

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 69055 and 69067 is 4769421685.

LCM(69055,69067) = 4769421685

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Least Common Multiple of 69055 and 69067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69055 and 69067, than apply into the LCM equation.

GCF(69055,69067) = 1
LCM(69055,69067) = ( 69055 × 69067) / 1
LCM(69055,69067) = 4769421685 / 1
LCM(69055,69067) = 4769421685

Least Common Multiple (LCM) of 69055 and 69067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69055 and 69067. First we will calculate the prime factors of 69055 and 69067.

Prime Factorization of 69055

Prime factors of 69055 are 5, 7, 1973. Prime factorization of 69055 in exponential form is:

69055 = 51 × 71 × 19731

Prime Factorization of 69067

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

69067 = 690671

Now multiplying the highest exponent prime factors to calculate the LCM of 69055 and 69067.

LCM(69055,69067) = 51 × 71 × 19731 × 690671
LCM(69055,69067) = 4769421685