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What is the Least Common Multiple of 54845 and 54854?

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 54845 and 54854 is 3008467630.

LCM(54845,54854) = 3008467630

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Least Common Multiple of 54845 and 54854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54845 and 54854, than apply into the LCM equation.

GCF(54845,54854) = 1
LCM(54845,54854) = ( 54845 × 54854) / 1
LCM(54845,54854) = 3008467630 / 1
LCM(54845,54854) = 3008467630

Least Common Multiple (LCM) of 54845 and 54854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54845 and 54854. First we will calculate the prime factors of 54845 and 54854.

Prime Factorization of 54845

Prime factors of 54845 are 5, 7, 1567. Prime factorization of 54845 in exponential form is:

54845 = 51 × 71 × 15671

Prime Factorization of 54854

Prime factors of 54854 are 2, 27427. Prime factorization of 54854 in exponential form is:

54854 = 21 × 274271

Now multiplying the highest exponent prime factors to calculate the LCM of 54845 and 54854.

LCM(54845,54854) = 51 × 71 × 15671 × 21 × 274271
LCM(54845,54854) = 3008467630