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What is the Least Common Multiple of 55094 and 55105?

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 55094 and 55105 is 3035954870.

LCM(55094,55105) = 3035954870

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Least Common Multiple of 55094 and 55105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55094 and 55105, than apply into the LCM equation.

GCF(55094,55105) = 1
LCM(55094,55105) = ( 55094 × 55105) / 1
LCM(55094,55105) = 3035954870 / 1
LCM(55094,55105) = 3035954870

Least Common Multiple (LCM) of 55094 and 55105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55094 and 55105. First we will calculate the prime factors of 55094 and 55105.

Prime Factorization of 55094

Prime factors of 55094 are 2, 13, 163. Prime factorization of 55094 in exponential form is:

55094 = 21 × 132 × 1631

Prime Factorization of 55105

Prime factors of 55105 are 5, 103, 107. Prime factorization of 55105 in exponential form is:

55105 = 51 × 1031 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 55094 and 55105.

LCM(55094,55105) = 21 × 132 × 1631 × 51 × 1031 × 1071
LCM(55094,55105) = 3035954870