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What is the Least Common Multiple of 52892 and 52907?

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 52892 and 52907 is 2798357044.

LCM(52892,52907) = 2798357044

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Least Common Multiple of 52892 and 52907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52892 and 52907, than apply into the LCM equation.

GCF(52892,52907) = 1
LCM(52892,52907) = ( 52892 × 52907) / 1
LCM(52892,52907) = 2798357044 / 1
LCM(52892,52907) = 2798357044

Least Common Multiple (LCM) of 52892 and 52907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52892 and 52907. First we will calculate the prime factors of 52892 and 52907.

Prime Factorization of 52892

Prime factors of 52892 are 2, 7, 1889. Prime factorization of 52892 in exponential form is:

52892 = 22 × 71 × 18891

Prime Factorization of 52907

Prime factors of 52907 are 191, 277. Prime factorization of 52907 in exponential form is:

52907 = 1911 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 52892 and 52907.

LCM(52892,52907) = 22 × 71 × 18891 × 1911 × 2771
LCM(52892,52907) = 2798357044