What is the Least Common Multiple of 20684 and 20688?
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 20684 and 20688 is 106977648.
LCM(20684,20688) = 106977648
Least Common Multiple of 20684 and 20688 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20684 and 20688, than apply into the LCM equation.
GCF(20684,20688) = 4
LCM(20684,20688) = ( 20684 × 20688) / 4
LCM(20684,20688) = 427910592 / 4
LCM(20684,20688) = 106977648
Least Common Multiple (LCM) of 20684 and 20688 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20684 and 20688. First we will calculate the prime factors of 20684 and 20688.
Prime Factorization of 20684
Prime factors of 20684 are 2, 5171. Prime factorization of 20684 in exponential form is:
20684 = 22 × 51711
Prime Factorization of 20688
Prime factors of 20688 are 2, 3, 431. Prime factorization of 20688 in exponential form is:
20688 = 24 × 31 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 20684 and 20688.
LCM(20684,20688) = 24 × 51711 × 31 × 4311
LCM(20684,20688) = 106977648
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