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What is the Least Common Multiple of 48539 and 48552?

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 48539 and 48552 is 2356665528.

LCM(48539,48552) = 2356665528

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Least Common Multiple of 48539 and 48552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48539 and 48552, than apply into the LCM equation.

GCF(48539,48552) = 1
LCM(48539,48552) = ( 48539 × 48552) / 1
LCM(48539,48552) = 2356665528 / 1
LCM(48539,48552) = 2356665528

Least Common Multiple (LCM) of 48539 and 48552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48539 and 48552. First we will calculate the prime factors of 48539 and 48552.

Prime Factorization of 48539

Prime factors of 48539 are 48539. Prime factorization of 48539 in exponential form is:

48539 = 485391

Prime Factorization of 48552

Prime factors of 48552 are 2, 3, 7, 17. Prime factorization of 48552 in exponential form is:

48552 = 23 × 31 × 71 × 172

Now multiplying the highest exponent prime factors to calculate the LCM of 48539 and 48552.

LCM(48539,48552) = 485391 × 23 × 31 × 71 × 172
LCM(48539,48552) = 2356665528