What is the Least Common Multiple of 22837 and 22847?
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 22837 and 22847 is 521756939.
LCM(22837,22847) = 521756939
Least Common Multiple of 22837 and 22847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22837 and 22847, than apply into the LCM equation.
GCF(22837,22847) = 1
LCM(22837,22847) = ( 22837 × 22847) / 1
LCM(22837,22847) = 521756939 / 1
LCM(22837,22847) = 521756939
Least Common Multiple (LCM) of 22837 and 22847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22837 and 22847. First we will calculate the prime factors of 22837 and 22847.
Prime Factorization of 22837
Prime factors of 22837 are 41, 557. Prime factorization of 22837 in exponential form is:
22837 = 411 × 5571
Prime Factorization of 22847
Prime factors of 22847 are 11, 31, 67. Prime factorization of 22847 in exponential form is:
22847 = 111 × 311 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 22837 and 22847.
LCM(22837,22847) = 411 × 5571 × 111 × 311 × 671
LCM(22837,22847) = 521756939
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Related Least Common Multiples of 22847
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