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What is the Least Common Multiple of 49544 and 49550?

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 49544 and 49550 is 1227452600.

LCM(49544,49550) = 1227452600

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Least Common Multiple of 49544 and 49550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49544 and 49550, than apply into the LCM equation.

GCF(49544,49550) = 2
LCM(49544,49550) = ( 49544 × 49550) / 2
LCM(49544,49550) = 2454905200 / 2
LCM(49544,49550) = 1227452600

Least Common Multiple (LCM) of 49544 and 49550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49544 and 49550. First we will calculate the prime factors of 49544 and 49550.

Prime Factorization of 49544

Prime factors of 49544 are 2, 11, 563. Prime factorization of 49544 in exponential form is:

49544 = 23 × 111 × 5631

Prime Factorization of 49550

Prime factors of 49550 are 2, 5, 991. Prime factorization of 49550 in exponential form is:

49550 = 21 × 52 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 49544 and 49550.

LCM(49544,49550) = 23 × 111 × 5631 × 52 × 9911
LCM(49544,49550) = 1227452600