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What is the Least Common Multiple of 54967 and 54982?

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 54967 and 54982 is 3022195594.

LCM(54967,54982) = 3022195594

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Least Common Multiple of 54967 and 54982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54967 and 54982, than apply into the LCM equation.

GCF(54967,54982) = 1
LCM(54967,54982) = ( 54967 × 54982) / 1
LCM(54967,54982) = 3022195594 / 1
LCM(54967,54982) = 3022195594

Least Common Multiple (LCM) of 54967 and 54982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54967 and 54982. First we will calculate the prime factors of 54967 and 54982.

Prime Factorization of 54967

Prime factors of 54967 are 11, 19, 263. Prime factorization of 54967 in exponential form is:

54967 = 111 × 191 × 2631

Prime Factorization of 54982

Prime factors of 54982 are 2, 37, 743. Prime factorization of 54982 in exponential form is:

54982 = 21 × 371 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 54967 and 54982.

LCM(54967,54982) = 111 × 191 × 2631 × 21 × 371 × 7431
LCM(54967,54982) = 3022195594