What is the Least Common Multiple of 21466 and 21480?
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 21466 and 21480 is 230544840.
LCM(21466,21480) = 230544840
Least Common Multiple of 21466 and 21480 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21466 and 21480, than apply into the LCM equation.
GCF(21466,21480) = 2
LCM(21466,21480) = ( 21466 × 21480) / 2
LCM(21466,21480) = 461089680 / 2
LCM(21466,21480) = 230544840
Least Common Multiple (LCM) of 21466 and 21480 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21466 and 21480. First we will calculate the prime factors of 21466 and 21480.
Prime Factorization of 21466
Prime factors of 21466 are 2, 10733. Prime factorization of 21466 in exponential form is:
21466 = 21 × 107331
Prime Factorization of 21480
Prime factors of 21480 are 2, 3, 5, 179. Prime factorization of 21480 in exponential form is:
21480 = 23 × 31 × 51 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 21466 and 21480.
LCM(21466,21480) = 23 × 107331 × 31 × 51 × 1791
LCM(21466,21480) = 230544840
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