What is the Least Common Multiple of 22439 and 22451?
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 22439 and 22451 is 503777989.
LCM(22439,22451) = 503777989
Least Common Multiple of 22439 and 22451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22439 and 22451, than apply into the LCM equation.
GCF(22439,22451) = 1
LCM(22439,22451) = ( 22439 × 22451) / 1
LCM(22439,22451) = 503777989 / 1
LCM(22439,22451) = 503777989
Least Common Multiple (LCM) of 22439 and 22451 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22439 and 22451. First we will calculate the prime factors of 22439 and 22451.
Prime Factorization of 22439
Prime factors of 22439 are 19, 1181. Prime factorization of 22439 in exponential form is:
22439 = 191 × 11811
Prime Factorization of 22451
Prime factors of 22451 are 11, 13, 157. Prime factorization of 22451 in exponential form is:
22451 = 111 × 131 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 22439 and 22451.
LCM(22439,22451) = 191 × 11811 × 111 × 131 × 1571
LCM(22439,22451) = 503777989
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