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What is the Least Common Multiple of 55095 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 55095 and 55105 is 607201995.

LCM(55095,55105) = 607201995

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Least Common Multiple of 55095 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 55095 and 55105, than apply into the LCM equation.

GCF(55095,55105) = 5
LCM(55095,55105) = ( 55095 × 55105) / 5
LCM(55095,55105) = 3036009975 / 5
LCM(55095,55105) = 607201995

Least Common Multiple (LCM) of 55095 and 55105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55095 and 55105. First we will calculate the prime factors of 55095 and 55105.

Prime Factorization of 55095

Prime factors of 55095 are 3, 5, 3673. Prime factorization of 55095 in exponential form is:

55095 = 31 × 51 × 36731

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 55095 and 55105.

LCM(55095,55105) = 31 × 51 × 36731 × 1031 × 1071
LCM(55095,55105) = 607201995