What is the Least Common Multiple of 20656 and 20670?
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 20656 and 20670 is 213479760.
LCM(20656,20670) = 213479760
Least Common Multiple of 20656 and 20670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20656 and 20670, than apply into the LCM equation.
GCF(20656,20670) = 2
LCM(20656,20670) = ( 20656 × 20670) / 2
LCM(20656,20670) = 426959520 / 2
LCM(20656,20670) = 213479760
Least Common Multiple (LCM) of 20656 and 20670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20656 and 20670. First we will calculate the prime factors of 20656 and 20670.
Prime Factorization of 20656
Prime factors of 20656 are 2, 1291. Prime factorization of 20656 in exponential form is:
20656 = 24 × 12911
Prime Factorization of 20670
Prime factors of 20670 are 2, 3, 5, 13, 53. Prime factorization of 20670 in exponential form is:
20670 = 21 × 31 × 51 × 131 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 20656 and 20670.
LCM(20656,20670) = 24 × 12911 × 31 × 51 × 131 × 531
LCM(20656,20670) = 213479760
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