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What is the Least Common Multiple of 48994 and 49008?

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 48994 and 49008 is 1200548976.

LCM(48994,49008) = 1200548976

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Least Common Multiple of 48994 and 49008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48994 and 49008, than apply into the LCM equation.

GCF(48994,49008) = 2
LCM(48994,49008) = ( 48994 × 49008) / 2
LCM(48994,49008) = 2401097952 / 2
LCM(48994,49008) = 1200548976

Least Common Multiple (LCM) of 48994 and 49008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48994 and 49008. First we will calculate the prime factors of 48994 and 49008.

Prime Factorization of 48994

Prime factors of 48994 are 2, 11, 17, 131. Prime factorization of 48994 in exponential form is:

48994 = 21 × 111 × 171 × 1311

Prime Factorization of 49008

Prime factors of 49008 are 2, 3, 1021. Prime factorization of 49008 in exponential form is:

49008 = 24 × 31 × 10211

Now multiplying the highest exponent prime factors to calculate the LCM of 48994 and 49008.

LCM(48994,49008) = 24 × 111 × 171 × 1311 × 31 × 10211
LCM(48994,49008) = 1200548976