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What is the Least Common Multiple of 86068 and 86077?

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 86068 and 86077 is 7408475236.

LCM(86068,86077) = 7408475236

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Least Common Multiple of 86068 and 86077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86068 and 86077, than apply into the LCM equation.

GCF(86068,86077) = 1
LCM(86068,86077) = ( 86068 × 86077) / 1
LCM(86068,86077) = 7408475236 / 1
LCM(86068,86077) = 7408475236

Least Common Multiple (LCM) of 86068 and 86077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86068 and 86077. First we will calculate the prime factors of 86068 and 86077.

Prime Factorization of 86068

Prime factors of 86068 are 2, 21517. Prime factorization of 86068 in exponential form is:

86068 = 22 × 215171

Prime Factorization of 86077

Prime factors of 86077 are 86077. Prime factorization of 86077 in exponential form is:

86077 = 860771

Now multiplying the highest exponent prime factors to calculate the LCM of 86068 and 86077.

LCM(86068,86077) = 22 × 215171 × 860771
LCM(86068,86077) = 7408475236