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What is the Least Common Multiple of 54982 and 55002?

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 54982 and 55002 is 1512059982.

LCM(54982,55002) = 1512059982

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Least Common Multiple of 54982 and 55002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54982 and 55002, than apply into the LCM equation.

GCF(54982,55002) = 2
LCM(54982,55002) = ( 54982 × 55002) / 2
LCM(54982,55002) = 3024119964 / 2
LCM(54982,55002) = 1512059982

Least Common Multiple (LCM) of 54982 and 55002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54982 and 55002. First we will calculate the prime factors of 54982 and 55002.

Prime Factorization of 54982

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

54982 = 21 × 371 × 7431

Prime Factorization of 55002

Prime factors of 55002 are 2, 3, 89, 103. Prime factorization of 55002 in exponential form is:

55002 = 21 × 31 × 891 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 54982 and 55002.

LCM(54982,55002) = 21 × 371 × 7431 × 31 × 891 × 1031
LCM(54982,55002) = 1512059982