What is the Least Common Multiple of 20689 and 20701?
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 20689 and 20701 is 428282989.
LCM(20689,20701) = 428282989
Least Common Multiple of 20689 and 20701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20689 and 20701, than apply into the LCM equation.
GCF(20689,20701) = 1
LCM(20689,20701) = ( 20689 × 20701) / 1
LCM(20689,20701) = 428282989 / 1
LCM(20689,20701) = 428282989
Least Common Multiple (LCM) of 20689 and 20701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20689 and 20701. First we will calculate the prime factors of 20689 and 20701.
Prime Factorization of 20689
Prime factors of 20689 are 17, 1217. Prime factorization of 20689 in exponential form is:
20689 = 171 × 12171
Prime Factorization of 20701
Prime factors of 20701 are 127, 163. Prime factorization of 20701 in exponential form is:
20701 = 1271 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 20689 and 20701.
LCM(20689,20701) = 171 × 12171 × 1271 × 1631
LCM(20689,20701) = 428282989
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