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What is the Least Common Multiple of 55955 and 55965?

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 55955 and 55965 is 626304315.

LCM(55955,55965) = 626304315

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Least Common Multiple of 55955 and 55965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55955 and 55965, than apply into the LCM equation.

GCF(55955,55965) = 5
LCM(55955,55965) = ( 55955 × 55965) / 5
LCM(55955,55965) = 3131521575 / 5
LCM(55955,55965) = 626304315

Least Common Multiple (LCM) of 55955 and 55965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55955 and 55965. First we will calculate the prime factors of 55955 and 55965.

Prime Factorization of 55955

Prime factors of 55955 are 5, 19, 31. Prime factorization of 55955 in exponential form is:

55955 = 51 × 192 × 311

Prime Factorization of 55965

Prime factors of 55965 are 3, 5, 7, 13, 41. Prime factorization of 55965 in exponential form is:

55965 = 31 × 51 × 71 × 131 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 55955 and 55965.

LCM(55955,55965) = 51 × 192 × 311 × 31 × 71 × 131 × 411
LCM(55955,55965) = 626304315