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What is the Least Common Multiple of 54850 and 54860?

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 54850 and 54860 is 300907100.

LCM(54850,54860) = 300907100

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Least Common Multiple of 54850 and 54860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54850 and 54860, than apply into the LCM equation.

GCF(54850,54860) = 10
LCM(54850,54860) = ( 54850 × 54860) / 10
LCM(54850,54860) = 3009071000 / 10
LCM(54850,54860) = 300907100

Least Common Multiple (LCM) of 54850 and 54860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54850 and 54860. First we will calculate the prime factors of 54850 and 54860.

Prime Factorization of 54850

Prime factors of 54850 are 2, 5, 1097. Prime factorization of 54850 in exponential form is:

54850 = 21 × 52 × 10971

Prime Factorization of 54860

Prime factors of 54860 are 2, 5, 13, 211. Prime factorization of 54860 in exponential form is:

54860 = 22 × 51 × 131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 54850 and 54860.

LCM(54850,54860) = 22 × 52 × 10971 × 131 × 2111
LCM(54850,54860) = 300907100