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What is the Least Common Multiple of 50652 and 50665?

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 50652 and 50665 is 2566283580.

LCM(50652,50665) = 2566283580

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Least Common Multiple of 50652 and 50665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50652 and 50665, than apply into the LCM equation.

GCF(50652,50665) = 1
LCM(50652,50665) = ( 50652 × 50665) / 1
LCM(50652,50665) = 2566283580 / 1
LCM(50652,50665) = 2566283580

Least Common Multiple (LCM) of 50652 and 50665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50652 and 50665. First we will calculate the prime factors of 50652 and 50665.

Prime Factorization of 50652

Prime factors of 50652 are 2, 3, 7, 67. Prime factorization of 50652 in exponential form is:

50652 = 22 × 33 × 71 × 671

Prime Factorization of 50665

Prime factors of 50665 are 5, 10133. Prime factorization of 50665 in exponential form is:

50665 = 51 × 101331

Now multiplying the highest exponent prime factors to calculate the LCM of 50652 and 50665.

LCM(50652,50665) = 22 × 33 × 71 × 671 × 51 × 101331
LCM(50652,50665) = 2566283580