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What is the Least Common Multiple of 50733 and 50740?

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 50733 and 50740 is 2574192420.

LCM(50733,50740) = 2574192420

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Least Common Multiple of 50733 and 50740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50733 and 50740, than apply into the LCM equation.

GCF(50733,50740) = 1
LCM(50733,50740) = ( 50733 × 50740) / 1
LCM(50733,50740) = 2574192420 / 1
LCM(50733,50740) = 2574192420

Least Common Multiple (LCM) of 50733 and 50740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50733 and 50740. First we will calculate the prime factors of 50733 and 50740.

Prime Factorization of 50733

Prime factors of 50733 are 3, 1879. Prime factorization of 50733 in exponential form is:

50733 = 33 × 18791

Prime Factorization of 50740

Prime factors of 50740 are 2, 5, 43, 59. Prime factorization of 50740 in exponential form is:

50740 = 22 × 51 × 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 50733 and 50740.

LCM(50733,50740) = 33 × 18791 × 22 × 51 × 431 × 591
LCM(50733,50740) = 2574192420