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What is the Least Common Multiple of 49548 and 49554?

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 49554 is 409216932.

LCM(49548,49554) = 409216932

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Least Common Multiple of 49548 and 49554 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 49554, than apply into the LCM equation.

GCF(49548,49554) = 6
LCM(49548,49554) = ( 49548 × 49554) / 6
LCM(49548,49554) = 2455301592 / 6
LCM(49548,49554) = 409216932

Least Common Multiple (LCM) of 49548 and 49554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49548 and 49554. First we will calculate the prime factors of 49548 and 49554.

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 49554

Prime factors of 49554 are 2, 3, 2753. Prime factorization of 49554 in exponential form is:

49554 = 21 × 32 × 27531

Now multiplying the highest exponent prime factors to calculate the LCM of 49548 and 49554.

LCM(49548,49554) = 22 × 32 × 41291 × 27531
LCM(49548,49554) = 409216932