What is the Least Common Multiple of 21688 and 21697?
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 21688 and 21697 is 470564536.
LCM(21688,21697) = 470564536
Least Common Multiple of 21688 and 21697 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21688 and 21697, than apply into the LCM equation.
GCF(21688,21697) = 1
LCM(21688,21697) = ( 21688 × 21697) / 1
LCM(21688,21697) = 470564536 / 1
LCM(21688,21697) = 470564536
Least Common Multiple (LCM) of 21688 and 21697 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21688 and 21697. First we will calculate the prime factors of 21688 and 21697.
Prime Factorization of 21688
Prime factors of 21688 are 2, 2711. Prime factorization of 21688 in exponential form is:
21688 = 23 × 27111
Prime Factorization of 21697
Prime factors of 21697 are 13, 1669. Prime factorization of 21697 in exponential form is:
21697 = 131 × 16691
Now multiplying the highest exponent prime factors to calculate the LCM of 21688 and 21697.
LCM(21688,21697) = 23 × 27111 × 131 × 16691
LCM(21688,21697) = 470564536
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