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What is the Least Common Multiple of 52658 and 52667?

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 52658 and 52667 is 2773338886.

LCM(52658,52667) = 2773338886

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Least Common Multiple of 52658 and 52667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52658 and 52667, than apply into the LCM equation.

GCF(52658,52667) = 1
LCM(52658,52667) = ( 52658 × 52667) / 1
LCM(52658,52667) = 2773338886 / 1
LCM(52658,52667) = 2773338886

Least Common Multiple (LCM) of 52658 and 52667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52658 and 52667. First we will calculate the prime factors of 52658 and 52667.

Prime Factorization of 52658

Prime factors of 52658 are 2, 113, 233. Prime factorization of 52658 in exponential form is:

52658 = 21 × 1131 × 2331

Prime Factorization of 52667

Prime factors of 52667 are 52667. Prime factorization of 52667 in exponential form is:

52667 = 526671

Now multiplying the highest exponent prime factors to calculate the LCM of 52658 and 52667.

LCM(52658,52667) = 21 × 1131 × 2331 × 526671
LCM(52658,52667) = 2773338886