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What is the Least Common Multiple of 55275 and 55285?

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 55275 and 55285 is 611175675.

LCM(55275,55285) = 611175675

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Least Common Multiple of 55275 and 55285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55275 and 55285, than apply into the LCM equation.

GCF(55275,55285) = 5
LCM(55275,55285) = ( 55275 × 55285) / 5
LCM(55275,55285) = 3055878375 / 5
LCM(55275,55285) = 611175675

Least Common Multiple (LCM) of 55275 and 55285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55275 and 55285. First we will calculate the prime factors of 55275 and 55285.

Prime Factorization of 55275

Prime factors of 55275 are 3, 5, 11, 67. Prime factorization of 55275 in exponential form is:

55275 = 31 × 52 × 111 × 671

Prime Factorization of 55285

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

55285 = 51 × 110571

Now multiplying the highest exponent prime factors to calculate the LCM of 55275 and 55285.

LCM(55275,55285) = 31 × 52 × 111 × 671 × 110571
LCM(55275,55285) = 611175675