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What is the Least Common Multiple of 47055 and 47069?

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 47055 and 47069 is 2214831795.

LCM(47055,47069) = 2214831795

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Least Common Multiple of 47055 and 47069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47055 and 47069, than apply into the LCM equation.

GCF(47055,47069) = 1
LCM(47055,47069) = ( 47055 × 47069) / 1
LCM(47055,47069) = 2214831795 / 1
LCM(47055,47069) = 2214831795

Least Common Multiple (LCM) of 47055 and 47069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47055 and 47069. First we will calculate the prime factors of 47055 and 47069.

Prime Factorization of 47055

Prime factors of 47055 are 3, 5, 3137. Prime factorization of 47055 in exponential form is:

47055 = 31 × 51 × 31371

Prime Factorization of 47069

Prime factors of 47069 are 11, 389. Prime factorization of 47069 in exponential form is:

47069 = 112 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 47055 and 47069.

LCM(47055,47069) = 31 × 51 × 31371 × 112 × 3891
LCM(47055,47069) = 2214831795