What is the Least Common Multiple of 22486 and 22491?
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 22486 and 22491 is 505732626.
LCM(22486,22491) = 505732626
Least Common Multiple of 22486 and 22491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22486 and 22491, than apply into the LCM equation.
GCF(22486,22491) = 1
LCM(22486,22491) = ( 22486 × 22491) / 1
LCM(22486,22491) = 505732626 / 1
LCM(22486,22491) = 505732626
Least Common Multiple (LCM) of 22486 and 22491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22486 and 22491. First we will calculate the prime factors of 22486 and 22491.
Prime Factorization of 22486
Prime factors of 22486 are 2, 11243. Prime factorization of 22486 in exponential form is:
22486 = 21 × 112431
Prime Factorization of 22491
Prime factors of 22491 are 3, 7, 17. Prime factorization of 22491 in exponential form is:
22491 = 33 × 72 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 22486 and 22491.
LCM(22486,22491) = 21 × 112431 × 33 × 72 × 171
LCM(22486,22491) = 505732626
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