What is the Least Common Multiple of 21208 and 21225?
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 21208 and 21225 is 450139800.
LCM(21208,21225) = 450139800
Least Common Multiple of 21208 and 21225 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21208 and 21225, than apply into the LCM equation.
GCF(21208,21225) = 1
LCM(21208,21225) = ( 21208 × 21225) / 1
LCM(21208,21225) = 450139800 / 1
LCM(21208,21225) = 450139800
Least Common Multiple (LCM) of 21208 and 21225 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21208 and 21225. First we will calculate the prime factors of 21208 and 21225.
Prime Factorization of 21208
Prime factors of 21208 are 2, 11, 241. Prime factorization of 21208 in exponential form is:
21208 = 23 × 111 × 2411
Prime Factorization of 21225
Prime factors of 21225 are 3, 5, 283. Prime factorization of 21225 in exponential form is:
21225 = 31 × 52 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 21208 and 21225.
LCM(21208,21225) = 23 × 111 × 2411 × 31 × 52 × 2831
LCM(21208,21225) = 450139800
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