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What is the Least Common Multiple of 47062 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 47062 and 47069 is 2215161278.

LCM(47062,47069) = 2215161278

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Least Common Multiple of 47062 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 47062 and 47069, than apply into the LCM equation.

GCF(47062,47069) = 1
LCM(47062,47069) = ( 47062 × 47069) / 1
LCM(47062,47069) = 2215161278 / 1
LCM(47062,47069) = 2215161278

Least Common Multiple (LCM) of 47062 and 47069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47062 and 47069. First we will calculate the prime factors of 47062 and 47069.

Prime Factorization of 47062

Prime factors of 47062 are 2, 23531. Prime factorization of 47062 in exponential form is:

47062 = 21 × 235311

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 47062 and 47069.

LCM(47062,47069) = 21 × 235311 × 112 × 3891
LCM(47062,47069) = 2215161278