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What is the Least Common Multiple of 52963 and 52972?

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 52963 and 52972 is 2805556036.

LCM(52963,52972) = 2805556036

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Least Common Multiple of 52963 and 52972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52963 and 52972, than apply into the LCM equation.

GCF(52963,52972) = 1
LCM(52963,52972) = ( 52963 × 52972) / 1
LCM(52963,52972) = 2805556036 / 1
LCM(52963,52972) = 2805556036

Least Common Multiple (LCM) of 52963 and 52972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52963 and 52972. First we will calculate the prime factors of 52963 and 52972.

Prime Factorization of 52963

Prime factors of 52963 are 52963. Prime factorization of 52963 in exponential form is:

52963 = 529631

Prime Factorization of 52972

Prime factors of 52972 are 2, 17, 19, 41. Prime factorization of 52972 in exponential form is:

52972 = 22 × 171 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 52963 and 52972.

LCM(52963,52972) = 529631 × 22 × 171 × 191 × 411
LCM(52963,52972) = 2805556036