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What is the Least Common Multiple of 55285 and 55292?

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 55285 and 55292 is 3056818220.

LCM(55285,55292) = 3056818220

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Least Common Multiple of 55285 and 55292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55285 and 55292, than apply into the LCM equation.

GCF(55285,55292) = 1
LCM(55285,55292) = ( 55285 × 55292) / 1
LCM(55285,55292) = 3056818220 / 1
LCM(55285,55292) = 3056818220

Least Common Multiple (LCM) of 55285 and 55292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55285 and 55292. First we will calculate the prime factors of 55285 and 55292.

Prime Factorization of 55285

Prime factors of 55285 are 5, 11057. Prime factorization of 55285 in exponential form is:

55285 = 51 × 110571

Prime Factorization of 55292

Prime factors of 55292 are 2, 23, 601. Prime factorization of 55292 in exponential form is:

55292 = 22 × 231 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 55285 and 55292.

LCM(55285,55292) = 51 × 110571 × 22 × 231 × 6011
LCM(55285,55292) = 3056818220