What is the Least Common Multiple of 20963 and 20967?
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 20963 and 20967 is 439531221.
LCM(20963,20967) = 439531221
Least Common Multiple of 20963 and 20967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20963 and 20967, than apply into the LCM equation.
GCF(20963,20967) = 1
LCM(20963,20967) = ( 20963 × 20967) / 1
LCM(20963,20967) = 439531221 / 1
LCM(20963,20967) = 439531221
Least Common Multiple (LCM) of 20963 and 20967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20963 and 20967. First we will calculate the prime factors of 20963 and 20967.
Prime Factorization of 20963
Prime factors of 20963 are 20963. Prime factorization of 20963 in exponential form is:
20963 = 209631
Prime Factorization of 20967
Prime factors of 20967 are 3, 29, 241. Prime factorization of 20967 in exponential form is:
20967 = 31 × 291 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 20963 and 20967.
LCM(20963,20967) = 209631 × 31 × 291 × 2411
LCM(20963,20967) = 439531221
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