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What is the Least Common Multiple of 54149 and 54154?

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 54149 and 54154 is 2932384946.

LCM(54149,54154) = 2932384946

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Least Common Multiple of 54149 and 54154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54149 and 54154, than apply into the LCM equation.

GCF(54149,54154) = 1
LCM(54149,54154) = ( 54149 × 54154) / 1
LCM(54149,54154) = 2932384946 / 1
LCM(54149,54154) = 2932384946

Least Common Multiple (LCM) of 54149 and 54154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54149 and 54154. First we will calculate the prime factors of 54149 and 54154.

Prime Factorization of 54149

Prime factors of 54149 are 173, 313. Prime factorization of 54149 in exponential form is:

54149 = 1731 × 3131

Prime Factorization of 54154

Prime factors of 54154 are 2, 27077. Prime factorization of 54154 in exponential form is:

54154 = 21 × 270771

Now multiplying the highest exponent prime factors to calculate the LCM of 54149 and 54154.

LCM(54149,54154) = 1731 × 3131 × 21 × 270771
LCM(54149,54154) = 2932384946