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What is the Least Common Multiple of 54376 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 54376 and 54391 is 2957565016.

LCM(54376,54391) = 2957565016

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Least Common Multiple of 54376 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 54376 and 54391, than apply into the LCM equation.

GCF(54376,54391) = 1
LCM(54376,54391) = ( 54376 × 54391) / 1
LCM(54376,54391) = 2957565016 / 1
LCM(54376,54391) = 2957565016

Least Common Multiple (LCM) of 54376 and 54391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54376 and 54391. First we will calculate the prime factors of 54376 and 54391.

Prime Factorization of 54376

Prime factors of 54376 are 2, 7, 971. Prime factorization of 54376 in exponential form is:

54376 = 23 × 71 × 9711

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 54376 and 54391.

LCM(54376,54391) = 23 × 71 × 9711 × 1091 × 4991
LCM(54376,54391) = 2957565016