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What is the Least Common Multiple of 55699 and 55708?

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 55699 and 55708 is 3102879892.

LCM(55699,55708) = 3102879892

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Least Common Multiple of 55699 and 55708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55699 and 55708, than apply into the LCM equation.

GCF(55699,55708) = 1
LCM(55699,55708) = ( 55699 × 55708) / 1
LCM(55699,55708) = 3102879892 / 1
LCM(55699,55708) = 3102879892

Least Common Multiple (LCM) of 55699 and 55708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55699 and 55708. First we will calculate the prime factors of 55699 and 55708.

Prime Factorization of 55699

Prime factors of 55699 are 7, 73, 109. Prime factorization of 55699 in exponential form is:

55699 = 71 × 731 × 1091

Prime Factorization of 55708

Prime factors of 55708 are 2, 19, 733. Prime factorization of 55708 in exponential form is:

55708 = 22 × 191 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 55699 and 55708.

LCM(55699,55708) = 71 × 731 × 1091 × 22 × 191 × 7331
LCM(55699,55708) = 3102879892