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What is the Least Common Multiple of 55455 and 55475?

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 55455 and 55475 is 615273225.

LCM(55455,55475) = 615273225

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Least Common Multiple of 55455 and 55475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55455 and 55475, than apply into the LCM equation.

GCF(55455,55475) = 5
LCM(55455,55475) = ( 55455 × 55475) / 5
LCM(55455,55475) = 3076366125 / 5
LCM(55455,55475) = 615273225

Least Common Multiple (LCM) of 55455 and 55475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55455 and 55475. First we will calculate the prime factors of 55455 and 55475.

Prime Factorization of 55455

Prime factors of 55455 are 3, 5, 3697. Prime factorization of 55455 in exponential form is:

55455 = 31 × 51 × 36971

Prime Factorization of 55475

Prime factors of 55475 are 5, 7, 317. Prime factorization of 55475 in exponential form is:

55475 = 52 × 71 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 55455 and 55475.

LCM(55455,55475) = 31 × 52 × 36971 × 71 × 3171
LCM(55455,55475) = 615273225