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What is the Least Common Multiple of 49548 and 49556?

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 49548 and 49556 is 613850172.

LCM(49548,49556) = 613850172

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Least Common Multiple of 49548 and 49556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49548 and 49556, than apply into the LCM equation.

GCF(49548,49556) = 4
LCM(49548,49556) = ( 49548 × 49556) / 4
LCM(49548,49556) = 2455400688 / 4
LCM(49548,49556) = 613850172

Least Common Multiple (LCM) of 49548 and 49556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49548 and 49556. First we will calculate the prime factors of 49548 and 49556.

Prime Factorization of 49548

Prime factors of 49548 are 2, 3, 4129. Prime factorization of 49548 in exponential form is:

49548 = 22 × 31 × 41291

Prime Factorization of 49556

Prime factors of 49556 are 2, 13, 953. Prime factorization of 49556 in exponential form is:

49556 = 22 × 131 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 49548 and 49556.

LCM(49548,49556) = 22 × 31 × 41291 × 131 × 9531
LCM(49548,49556) = 613850172