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What is the Least Common Multiple of 54379 and 54391?

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 54379 and 54391 is 2957728189.

LCM(54379,54391) = 2957728189

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Least Common Multiple of 54379 and 54391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54379 and 54391, than apply into the LCM equation.

GCF(54379,54391) = 1
LCM(54379,54391) = ( 54379 × 54391) / 1
LCM(54379,54391) = 2957728189 / 1
LCM(54379,54391) = 2957728189

Least Common Multiple (LCM) of 54379 and 54391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54379 and 54391. First we will calculate the prime factors of 54379 and 54391.

Prime Factorization of 54379

Prime factors of 54379 are 13, 47, 89. Prime factorization of 54379 in exponential form is:

54379 = 131 × 471 × 891

Prime Factorization of 54391

Prime factors of 54391 are 109, 499. Prime factorization of 54391 in exponential form is:

54391 = 1091 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 54379 and 54391.

LCM(54379,54391) = 131 × 471 × 891 × 1091 × 4991
LCM(54379,54391) = 2957728189