What is the Least Common Multiple of 15622 and 15633?
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 15622 and 15633 is 244218726.
LCM(15622,15633) = 244218726
Least Common Multiple of 15622 and 15633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15622 and 15633, than apply into the LCM equation.
GCF(15622,15633) = 1
LCM(15622,15633) = ( 15622 × 15633) / 1
LCM(15622,15633) = 244218726 / 1
LCM(15622,15633) = 244218726
Least Common Multiple (LCM) of 15622 and 15633 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 15622 and 15633. First we will calculate the prime factors of 15622 and 15633.
Prime Factorization of 15622
Prime factors of 15622 are 2, 73, 107. Prime factorization of 15622 in exponential form is:
15622 = 21 × 731 × 1071
Prime Factorization of 15633
Prime factors of 15633 are 3, 193. Prime factorization of 15633 in exponential form is:
15633 = 34 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 15622 and 15633.
LCM(15622,15633) = 21 × 731 × 1071 × 34 × 1931
LCM(15622,15633) = 244218726
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