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What is the Least Common Multiple of 50660 and 50668?

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 50660 and 50668 is 641710220.

LCM(50660,50668) = 641710220

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Least Common Multiple of 50660 and 50668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50660 and 50668, than apply into the LCM equation.

GCF(50660,50668) = 4
LCM(50660,50668) = ( 50660 × 50668) / 4
LCM(50660,50668) = 2566840880 / 4
LCM(50660,50668) = 641710220

Least Common Multiple (LCM) of 50660 and 50668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50660 and 50668. First we will calculate the prime factors of 50660 and 50668.

Prime Factorization of 50660

Prime factors of 50660 are 2, 5, 17, 149. Prime factorization of 50660 in exponential form is:

50660 = 22 × 51 × 171 × 1491

Prime Factorization of 50668

Prime factors of 50668 are 2, 53, 239. Prime factorization of 50668 in exponential form is:

50668 = 22 × 531 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 50660 and 50668.

LCM(50660,50668) = 22 × 51 × 171 × 1491 × 531 × 2391
LCM(50660,50668) = 641710220