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What is the Least Common Multiple of 55298 and 55302?

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 55298 and 55302 is 1529044998.

LCM(55298,55302) = 1529044998

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Least Common Multiple of 55298 and 55302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55298 and 55302, than apply into the LCM equation.

GCF(55298,55302) = 2
LCM(55298,55302) = ( 55298 × 55302) / 2
LCM(55298,55302) = 3058089996 / 2
LCM(55298,55302) = 1529044998

Least Common Multiple (LCM) of 55298 and 55302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55298 and 55302. First we will calculate the prime factors of 55298 and 55302.

Prime Factorization of 55298

Prime factors of 55298 are 2, 43, 643. Prime factorization of 55298 in exponential form is:

55298 = 21 × 431 × 6431

Prime Factorization of 55302

Prime factors of 55302 are 2, 3, 13, 709. Prime factorization of 55302 in exponential form is:

55302 = 21 × 31 × 131 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 55298 and 55302.

LCM(55298,55302) = 21 × 431 × 6431 × 31 × 131 × 7091
LCM(55298,55302) = 1529044998