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What is the Least Common Multiple of 49535 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 49535 and 49554 is 2454657390.

LCM(49535,49554) = 2454657390

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Least Common Multiple of 49535 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 49535 and 49554, than apply into the LCM equation.

GCF(49535,49554) = 1
LCM(49535,49554) = ( 49535 × 49554) / 1
LCM(49535,49554) = 2454657390 / 1
LCM(49535,49554) = 2454657390

Least Common Multiple (LCM) of 49535 and 49554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49535 and 49554. First we will calculate the prime factors of 49535 and 49554.

Prime Factorization of 49535

Prime factors of 49535 are 5, 9907. Prime factorization of 49535 in exponential form is:

49535 = 51 × 99071

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 49535 and 49554.

LCM(49535,49554) = 51 × 99071 × 21 × 32 × 27531
LCM(49535,49554) = 2454657390