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What is the Least Common Multiple of 86054 and 86061?

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 86054 and 86061 is 7405893294.

LCM(86054,86061) = 7405893294

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Least Common Multiple of 86054 and 86061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86054 and 86061, than apply into the LCM equation.

GCF(86054,86061) = 1
LCM(86054,86061) = ( 86054 × 86061) / 1
LCM(86054,86061) = 7405893294 / 1
LCM(86054,86061) = 7405893294

Least Common Multiple (LCM) of 86054 and 86061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86054 and 86061. First we will calculate the prime factors of 86054 and 86061.

Prime Factorization of 86054

Prime factors of 86054 are 2, 17, 2531. Prime factorization of 86054 in exponential form is:

86054 = 21 × 171 × 25311

Prime Factorization of 86061

Prime factors of 86061 are 3, 28687. Prime factorization of 86061 in exponential form is:

86061 = 31 × 286871

Now multiplying the highest exponent prime factors to calculate the LCM of 86054 and 86061.

LCM(86054,86061) = 21 × 171 × 25311 × 31 × 286871
LCM(86054,86061) = 7405893294