What is the Least Common Multiple of 22604 and 22611?
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 22604 and 22611 is 511099044.
LCM(22604,22611) = 511099044
Least Common Multiple of 22604 and 22611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22604 and 22611, than apply into the LCM equation.
GCF(22604,22611) = 1
LCM(22604,22611) = ( 22604 × 22611) / 1
LCM(22604,22611) = 511099044 / 1
LCM(22604,22611) = 511099044
Least Common Multiple (LCM) of 22604 and 22611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22604 and 22611. First we will calculate the prime factors of 22604 and 22611.
Prime Factorization of 22604
Prime factors of 22604 are 2, 5651. Prime factorization of 22604 in exponential form is:
22604 = 22 × 56511
Prime Factorization of 22611
Prime factors of 22611 are 3, 7537. Prime factorization of 22611 in exponential form is:
22611 = 31 × 75371
Now multiplying the highest exponent prime factors to calculate the LCM of 22604 and 22611.
LCM(22604,22611) = 22 × 56511 × 31 × 75371
LCM(22604,22611) = 511099044
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