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What is the Least Common Multiple of 52162 and 52179?

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 52162 and 52179 is 2721760998.

LCM(52162,52179) = 2721760998

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Least Common Multiple of 52162 and 52179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52162 and 52179, than apply into the LCM equation.

GCF(52162,52179) = 1
LCM(52162,52179) = ( 52162 × 52179) / 1
LCM(52162,52179) = 2721760998 / 1
LCM(52162,52179) = 2721760998

Least Common Multiple (LCM) of 52162 and 52179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52162 and 52179. First we will calculate the prime factors of 52162 and 52179.

Prime Factorization of 52162

Prime factors of 52162 are 2, 11, 2371. Prime factorization of 52162 in exponential form is:

52162 = 21 × 111 × 23711

Prime Factorization of 52179

Prime factors of 52179 are 3, 17393. Prime factorization of 52179 in exponential form is:

52179 = 31 × 173931

Now multiplying the highest exponent prime factors to calculate the LCM of 52162 and 52179.

LCM(52162,52179) = 21 × 111 × 23711 × 31 × 173931
LCM(52162,52179) = 2721760998