What is the Least Common Multiple of 20622 and 20635?
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 20635 is 425534970.
LCM(20622,20635) = 425534970
Least Common Multiple of 20622 and 20635 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 20635, than apply into the LCM equation.
GCF(20622,20635) = 1
LCM(20622,20635) = ( 20622 × 20635) / 1
LCM(20622,20635) = 425534970 / 1
LCM(20622,20635) = 425534970
Least Common Multiple (LCM) of 20622 and 20635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20622 and 20635. First we will calculate the prime factors of 20622 and 20635.
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 20635
Prime factors of 20635 are 5, 4127. Prime factorization of 20635 in exponential form is:
20635 = 51 × 41271
Now multiplying the highest exponent prime factors to calculate the LCM of 20622 and 20635.
LCM(20622,20635) = 21 × 31 × 71 × 4911 × 51 × 41271
LCM(20622,20635) = 425534970
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