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What is the Least Common Multiple of 52796 and 52807?

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 52796 and 52807 is 2787998372.

LCM(52796,52807) = 2787998372

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Least Common Multiple of 52796 and 52807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52796 and 52807, than apply into the LCM equation.

GCF(52796,52807) = 1
LCM(52796,52807) = ( 52796 × 52807) / 1
LCM(52796,52807) = 2787998372 / 1
LCM(52796,52807) = 2787998372

Least Common Multiple (LCM) of 52796 and 52807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52796 and 52807. First we will calculate the prime factors of 52796 and 52807.

Prime Factorization of 52796

Prime factors of 52796 are 2, 67, 197. Prime factorization of 52796 in exponential form is:

52796 = 22 × 671 × 1971

Prime Factorization of 52807

Prime factors of 52807 are 52807. Prime factorization of 52807 in exponential form is:

52807 = 528071

Now multiplying the highest exponent prime factors to calculate the LCM of 52796 and 52807.

LCM(52796,52807) = 22 × 671 × 1971 × 528071
LCM(52796,52807) = 2787998372