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What is the Least Common Multiple of 54998 and 55008?

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 54998 and 55008 is 1512664992.

LCM(54998,55008) = 1512664992

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Least Common Multiple of 54998 and 55008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54998 and 55008, than apply into the LCM equation.

GCF(54998,55008) = 2
LCM(54998,55008) = ( 54998 × 55008) / 2
LCM(54998,55008) = 3025329984 / 2
LCM(54998,55008) = 1512664992

Least Common Multiple (LCM) of 54998 and 55008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54998 and 55008. First we will calculate the prime factors of 54998 and 55008.

Prime Factorization of 54998

Prime factors of 54998 are 2, 107, 257. Prime factorization of 54998 in exponential form is:

54998 = 21 × 1071 × 2571

Prime Factorization of 55008

Prime factors of 55008 are 2, 3, 191. Prime factorization of 55008 in exponential form is:

55008 = 25 × 32 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 54998 and 55008.

LCM(54998,55008) = 25 × 1071 × 2571 × 32 × 1911
LCM(54998,55008) = 1512664992