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What is the Least Common Multiple of 50750 and 50768?

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 50750 and 50768 is 1288238000.

LCM(50750,50768) = 1288238000

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Least Common Multiple of 50750 and 50768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50750 and 50768, than apply into the LCM equation.

GCF(50750,50768) = 2
LCM(50750,50768) = ( 50750 × 50768) / 2
LCM(50750,50768) = 2576476000 / 2
LCM(50750,50768) = 1288238000

Least Common Multiple (LCM) of 50750 and 50768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50750 and 50768. First we will calculate the prime factors of 50750 and 50768.

Prime Factorization of 50750

Prime factors of 50750 are 2, 5, 7, 29. Prime factorization of 50750 in exponential form is:

50750 = 21 × 53 × 71 × 291

Prime Factorization of 50768

Prime factors of 50768 are 2, 19, 167. Prime factorization of 50768 in exponential form is:

50768 = 24 × 191 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 50750 and 50768.

LCM(50750,50768) = 24 × 53 × 71 × 291 × 191 × 1671
LCM(50750,50768) = 1288238000