What is the Least Common Multiple of 21049 and 21067?
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 21067 is 443439283.
LCM(21049,21067) = 443439283
Least Common Multiple of 21049 and 21067 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 21067, than apply into the LCM equation.
GCF(21049,21067) = 1
LCM(21049,21067) = ( 21049 × 21067) / 1
LCM(21049,21067) = 443439283 / 1
LCM(21049,21067) = 443439283
Least Common Multiple (LCM) of 21049 and 21067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21049 and 21067. First we will calculate the prime factors of 21049 and 21067.
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 21067
Prime factors of 21067 are 21067. Prime factorization of 21067 in exponential form is:
21067 = 210671
Now multiplying the highest exponent prime factors to calculate the LCM of 21049 and 21067.
LCM(21049,21067) = 71 × 311 × 971 × 210671
LCM(21049,21067) = 443439283
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