What is the Least Common Multiple of 22826 and 22837?
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 22826 and 22837 is 521277362.
LCM(22826,22837) = 521277362
Least Common Multiple of 22826 and 22837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22826 and 22837, than apply into the LCM equation.
GCF(22826,22837) = 1
LCM(22826,22837) = ( 22826 × 22837) / 1
LCM(22826,22837) = 521277362 / 1
LCM(22826,22837) = 521277362
Least Common Multiple (LCM) of 22826 and 22837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22826 and 22837. First we will calculate the prime factors of 22826 and 22837.
Prime Factorization of 22826
Prime factors of 22826 are 2, 101, 113. Prime factorization of 22826 in exponential form is:
22826 = 21 × 1011 × 1131
Prime Factorization of 22837
Prime factors of 22837 are 41, 557. Prime factorization of 22837 in exponential form is:
22837 = 411 × 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 22826 and 22837.
LCM(22826,22837) = 21 × 1011 × 1131 × 411 × 5571
LCM(22826,22837) = 521277362
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