What is the Least Common Multiple of 21285 and 21302?
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 21285 and 21302 is 453413070.
LCM(21285,21302) = 453413070
Least Common Multiple of 21285 and 21302 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21285 and 21302, than apply into the LCM equation.
GCF(21285,21302) = 1
LCM(21285,21302) = ( 21285 × 21302) / 1
LCM(21285,21302) = 453413070 / 1
LCM(21285,21302) = 453413070
Least Common Multiple (LCM) of 21285 and 21302 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21285 and 21302. First we will calculate the prime factors of 21285 and 21302.
Prime Factorization of 21285
Prime factors of 21285 are 3, 5, 11, 43. Prime factorization of 21285 in exponential form is:
21285 = 32 × 51 × 111 × 431
Prime Factorization of 21302
Prime factors of 21302 are 2, 10651. Prime factorization of 21302 in exponential form is:
21302 = 21 × 106511
Now multiplying the highest exponent prime factors to calculate the LCM of 21285 and 21302.
LCM(21285,21302) = 32 × 51 × 111 × 431 × 21 × 106511
LCM(21285,21302) = 453413070
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