What is the Least Common Multiple of 22672 and 22683?
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 22672 and 22683 is 514268976.
LCM(22672,22683) = 514268976
Least Common Multiple of 22672 and 22683 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22672 and 22683, than apply into the LCM equation.
GCF(22672,22683) = 1
LCM(22672,22683) = ( 22672 × 22683) / 1
LCM(22672,22683) = 514268976 / 1
LCM(22672,22683) = 514268976
Least Common Multiple (LCM) of 22672 and 22683 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22672 and 22683. First we will calculate the prime factors of 22672 and 22683.
Prime Factorization of 22672
Prime factors of 22672 are 2, 13, 109. Prime factorization of 22672 in exponential form is:
22672 = 24 × 131 × 1091
Prime Factorization of 22683
Prime factors of 22683 are 3, 7561. Prime factorization of 22683 in exponential form is:
22683 = 31 × 75611
Now multiplying the highest exponent prime factors to calculate the LCM of 22672 and 22683.
LCM(22672,22683) = 24 × 131 × 1091 × 31 × 75611
LCM(22672,22683) = 514268976
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