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What is the Least Common Multiple of 54286 and 54292?

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 54286 and 54292 is 1473647756.

LCM(54286,54292) = 1473647756

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Least Common Multiple of 54286 and 54292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54286 and 54292, than apply into the LCM equation.

GCF(54286,54292) = 2
LCM(54286,54292) = ( 54286 × 54292) / 2
LCM(54286,54292) = 2947295512 / 2
LCM(54286,54292) = 1473647756

Least Common Multiple (LCM) of 54286 and 54292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54286 and 54292. First we will calculate the prime factors of 54286 and 54292.

Prime Factorization of 54286

Prime factors of 54286 are 2, 27143. Prime factorization of 54286 in exponential form is:

54286 = 21 × 271431

Prime Factorization of 54292

Prime factors of 54292 are 2, 7, 277. Prime factorization of 54292 in exponential form is:

54292 = 22 × 72 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 54286 and 54292.

LCM(54286,54292) = 22 × 271431 × 72 × 2771
LCM(54286,54292) = 1473647756