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What is the Least Common Multiple of 55450 and 55461?

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 55450 and 55461 is 3075312450.

LCM(55450,55461) = 3075312450

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Least Common Multiple of 55450 and 55461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55450 and 55461, than apply into the LCM equation.

GCF(55450,55461) = 1
LCM(55450,55461) = ( 55450 × 55461) / 1
LCM(55450,55461) = 3075312450 / 1
LCM(55450,55461) = 3075312450

Least Common Multiple (LCM) of 55450 and 55461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55450 and 55461. First we will calculate the prime factors of 55450 and 55461.

Prime Factorization of 55450

Prime factors of 55450 are 2, 5, 1109. Prime factorization of 55450 in exponential form is:

55450 = 21 × 52 × 11091

Prime Factorization of 55461

Prime factors of 55461 are 3, 7, 19, 139. Prime factorization of 55461 in exponential form is:

55461 = 31 × 71 × 191 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 55450 and 55461.

LCM(55450,55461) = 21 × 52 × 11091 × 31 × 71 × 191 × 1391
LCM(55450,55461) = 3075312450