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What is the Least Common Multiple of 69068 and 69077?

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 69068 and 69077 is 4771010236.

LCM(69068,69077) = 4771010236

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Least Common Multiple of 69068 and 69077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69068 and 69077, than apply into the LCM equation.

GCF(69068,69077) = 1
LCM(69068,69077) = ( 69068 × 69077) / 1
LCM(69068,69077) = 4771010236 / 1
LCM(69068,69077) = 4771010236

Least Common Multiple (LCM) of 69068 and 69077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69068 and 69077. First we will calculate the prime factors of 69068 and 69077.

Prime Factorization of 69068

Prime factors of 69068 are 2, 31, 557. Prime factorization of 69068 in exponential form is:

69068 = 22 × 311 × 5571

Prime Factorization of 69077

Prime factors of 69077 are 67, 1031. Prime factorization of 69077 in exponential form is:

69077 = 671 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 69068 and 69077.

LCM(69068,69077) = 22 × 311 × 5571 × 671 × 10311
LCM(69068,69077) = 4771010236