What is the Least Common Multiple of 21229 and 21240?
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 21229 and 21240 is 450903960.
LCM(21229,21240) = 450903960
Least Common Multiple of 21229 and 21240 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21229 and 21240, than apply into the LCM equation.
GCF(21229,21240) = 1
LCM(21229,21240) = ( 21229 × 21240) / 1
LCM(21229,21240) = 450903960 / 1
LCM(21229,21240) = 450903960
Least Common Multiple (LCM) of 21229 and 21240 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21229 and 21240. First we will calculate the prime factors of 21229 and 21240.
Prime Factorization of 21229
Prime factors of 21229 are 13, 23, 71. Prime factorization of 21229 in exponential form is:
21229 = 131 × 231 × 711
Prime Factorization of 21240
Prime factors of 21240 are 2, 3, 5, 59. Prime factorization of 21240 in exponential form is:
21240 = 23 × 32 × 51 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 21229 and 21240.
LCM(21229,21240) = 131 × 231 × 711 × 23 × 32 × 51 × 591
LCM(21229,21240) = 450903960
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