What is the Least Common Multiple of 28841 and 28860?
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 28841 and 28860 is 832351260.
LCM(28841,28860) = 832351260
Least Common Multiple of 28841 and 28860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28841 and 28860, than apply into the LCM equation.
GCF(28841,28860) = 1
LCM(28841,28860) = ( 28841 × 28860) / 1
LCM(28841,28860) = 832351260 / 1
LCM(28841,28860) = 832351260
Least Common Multiple (LCM) of 28841 and 28860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28841 and 28860. First we will calculate the prime factors of 28841 and 28860.
Prime Factorization of 28841
Prime factors of 28841 are 151, 191. Prime factorization of 28841 in exponential form is:
28841 = 1511 × 1911
Prime Factorization of 28860
Prime factors of 28860 are 2, 3, 5, 13, 37. Prime factorization of 28860 in exponential form is:
28860 = 22 × 31 × 51 × 131 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 28841 and 28860.
LCM(28841,28860) = 1511 × 1911 × 22 × 31 × 51 × 131 × 371
LCM(28841,28860) = 832351260
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