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What is the Least Common Multiple of 52661 and 52672?

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 52661 and 52672 is 2773760192.

LCM(52661,52672) = 2773760192

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Least Common Multiple of 52661 and 52672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52661 and 52672, than apply into the LCM equation.

GCF(52661,52672) = 1
LCM(52661,52672) = ( 52661 × 52672) / 1
LCM(52661,52672) = 2773760192 / 1
LCM(52661,52672) = 2773760192

Least Common Multiple (LCM) of 52661 and 52672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52661 and 52672. First we will calculate the prime factors of 52661 and 52672.

Prime Factorization of 52661

Prime factors of 52661 are 7, 7523. Prime factorization of 52661 in exponential form is:

52661 = 71 × 75231

Prime Factorization of 52672

Prime factors of 52672 are 2, 823. Prime factorization of 52672 in exponential form is:

52672 = 26 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 52661 and 52672.

LCM(52661,52672) = 71 × 75231 × 26 × 8231
LCM(52661,52672) = 2773760192