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What is the Least Common Multiple of 53054 and 53069?

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 53054 and 53069 is 2815522726.

LCM(53054,53069) = 2815522726

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Least Common Multiple of 53054 and 53069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53054 and 53069, than apply into the LCM equation.

GCF(53054,53069) = 1
LCM(53054,53069) = ( 53054 × 53069) / 1
LCM(53054,53069) = 2815522726 / 1
LCM(53054,53069) = 2815522726

Least Common Multiple (LCM) of 53054 and 53069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53054 and 53069. First we will calculate the prime factors of 53054 and 53069.

Prime Factorization of 53054

Prime factors of 53054 are 2, 41, 647. Prime factorization of 53054 in exponential form is:

53054 = 21 × 411 × 6471

Prime Factorization of 53069

Prime factors of 53069 are 53069. Prime factorization of 53069 in exponential form is:

53069 = 530691

Now multiplying the highest exponent prime factors to calculate the LCM of 53054 and 53069.

LCM(53054,53069) = 21 × 411 × 6471 × 530691
LCM(53054,53069) = 2815522726