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What is the Least Common Multiple of 52155 and 52175?

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 52155 and 52175 is 544237425.

LCM(52155,52175) = 544237425

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Least Common Multiple of 52155 and 52175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52155 and 52175, than apply into the LCM equation.

GCF(52155,52175) = 5
LCM(52155,52175) = ( 52155 × 52175) / 5
LCM(52155,52175) = 2721187125 / 5
LCM(52155,52175) = 544237425

Least Common Multiple (LCM) of 52155 and 52175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52155 and 52175. First we will calculate the prime factors of 52155 and 52175.

Prime Factorization of 52155

Prime factors of 52155 are 3, 5, 19, 61. Prime factorization of 52155 in exponential form is:

52155 = 32 × 51 × 191 × 611

Prime Factorization of 52175

Prime factors of 52175 are 5, 2087. Prime factorization of 52175 in exponential form is:

52175 = 52 × 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 52155 and 52175.

LCM(52155,52175) = 32 × 52 × 191 × 611 × 20871
LCM(52155,52175) = 544237425