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What is the Least Common Multiple of 54278 and 54285?

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 54278 and 54285 is 420925890.

LCM(54278,54285) = 420925890

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Least Common Multiple of 54278 and 54285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54278 and 54285, than apply into the LCM equation.

GCF(54278,54285) = 7
LCM(54278,54285) = ( 54278 × 54285) / 7
LCM(54278,54285) = 2946481230 / 7
LCM(54278,54285) = 420925890

Least Common Multiple (LCM) of 54278 and 54285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54278 and 54285. First we will calculate the prime factors of 54278 and 54285.

Prime Factorization of 54278

Prime factors of 54278 are 2, 7, 3877. Prime factorization of 54278 in exponential form is:

54278 = 21 × 71 × 38771

Prime Factorization of 54285

Prime factors of 54285 are 3, 5, 7, 11, 47. Prime factorization of 54285 in exponential form is:

54285 = 31 × 51 × 71 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 54278 and 54285.

LCM(54278,54285) = 21 × 71 × 38771 × 31 × 51 × 111 × 471
LCM(54278,54285) = 420925890