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What is the Least Common Multiple of 72886 and 72894?

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 72886 and 72894 is 2656476042.

LCM(72886,72894) = 2656476042

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Least Common Multiple of 72886 and 72894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72886 and 72894, than apply into the LCM equation.

GCF(72886,72894) = 2
LCM(72886,72894) = ( 72886 × 72894) / 2
LCM(72886,72894) = 5312952084 / 2
LCM(72886,72894) = 2656476042

Least Common Multiple (LCM) of 72886 and 72894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72886 and 72894. First we will calculate the prime factors of 72886 and 72894.

Prime Factorization of 72886

Prime factors of 72886 are 2, 11, 3313. Prime factorization of 72886 in exponential form is:

72886 = 21 × 111 × 33131

Prime Factorization of 72894

Prime factors of 72894 are 2, 3, 12149. Prime factorization of 72894 in exponential form is:

72894 = 21 × 31 × 121491

Now multiplying the highest exponent prime factors to calculate the LCM of 72886 and 72894.

LCM(72886,72894) = 21 × 111 × 33131 × 31 × 121491
LCM(72886,72894) = 2656476042