What is the Least Common Multiple of 21049 and 21069?
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 21049 and 21069 is 443481381.
LCM(21049,21069) = 443481381
Least Common Multiple of 21049 and 21069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21049 and 21069, than apply into the LCM equation.
GCF(21049,21069) = 1
LCM(21049,21069) = ( 21049 × 21069) / 1
LCM(21049,21069) = 443481381 / 1
LCM(21049,21069) = 443481381
Least Common Multiple (LCM) of 21049 and 21069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21049 and 21069. First we will calculate the prime factors of 21049 and 21069.
Prime Factorization of 21049
Prime factors of 21049 are 7, 31, 97. Prime factorization of 21049 in exponential form is:
21049 = 71 × 311 × 971
Prime Factorization of 21069
Prime factors of 21069 are 3, 2341. Prime factorization of 21069 in exponential form is:
21069 = 32 × 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 21049 and 21069.
LCM(21049,21069) = 71 × 311 × 971 × 32 × 23411
LCM(21049,21069) = 443481381
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