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What is the Least Common Multiple of 20622 and 20630?

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 20622 and 20630 is 212715930.

LCM(20622,20630) = 212715930

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Least Common Multiple of 20622 and 20630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20622 and 20630, than apply into the LCM equation.

GCF(20622,20630) = 2
LCM(20622,20630) = ( 20622 × 20630) / 2
LCM(20622,20630) = 425431860 / 2
LCM(20622,20630) = 212715930

Least Common Multiple (LCM) of 20622 and 20630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20622 and 20630. First we will calculate the prime factors of 20622 and 20630.

Prime Factorization of 20622

Prime factors of 20622 are 2, 3, 7, 491. Prime factorization of 20622 in exponential form is:

20622 = 21 × 31 × 71 × 4911

Prime Factorization of 20630

Prime factors of 20630 are 2, 5, 2063. Prime factorization of 20630 in exponential form is:

20630 = 21 × 51 × 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 20622 and 20630.

LCM(20622,20630) = 21 × 31 × 71 × 4911 × 51 × 20631
LCM(20622,20630) = 212715930