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What is the Least Common Multiple of 54963 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 54963 and 54982 is 3021975666.

LCM(54963,54982) = 3021975666

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Least Common Multiple of 54963 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 54963 and 54982, than apply into the LCM equation.

GCF(54963,54982) = 1
LCM(54963,54982) = ( 54963 × 54982) / 1
LCM(54963,54982) = 3021975666 / 1
LCM(54963,54982) = 3021975666

Least Common Multiple (LCM) of 54963 and 54982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54963 and 54982. First we will calculate the prime factors of 54963 and 54982.

Prime Factorization of 54963

Prime factors of 54963 are 3, 31, 197. Prime factorization of 54963 in exponential form is:

54963 = 32 × 311 × 1971

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 54963 and 54982.

LCM(54963,54982) = 32 × 311 × 1971 × 21 × 371 × 7431
LCM(54963,54982) = 3021975666