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What is the Least Common Multiple of 52937 and 52955?

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 52937 and 52955 is 2803278835.

LCM(52937,52955) = 2803278835

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Least Common Multiple of 52937 and 52955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52937 and 52955, than apply into the LCM equation.

GCF(52937,52955) = 1
LCM(52937,52955) = ( 52937 × 52955) / 1
LCM(52937,52955) = 2803278835 / 1
LCM(52937,52955) = 2803278835

Least Common Multiple (LCM) of 52937 and 52955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52937 and 52955. First we will calculate the prime factors of 52937 and 52955.

Prime Factorization of 52937

Prime factors of 52937 are 52937. Prime factorization of 52937 in exponential form is:

52937 = 529371

Prime Factorization of 52955

Prime factors of 52955 are 5, 7, 17, 89. Prime factorization of 52955 in exponential form is:

52955 = 51 × 71 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 52937 and 52955.

LCM(52937,52955) = 529371 × 51 × 71 × 171 × 891
LCM(52937,52955) = 2803278835