What is the Least Common Multiple of 8845 and 8851?
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 8845 and 8851 is 78287095.
LCM(8845,8851) = 78287095
Least Common Multiple of 8845 and 8851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8845 and 8851, than apply into the LCM equation.
GCF(8845,8851) = 1
LCM(8845,8851) = ( 8845 × 8851) / 1
LCM(8845,8851) = 78287095 / 1
LCM(8845,8851) = 78287095
Least Common Multiple (LCM) of 8845 and 8851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8845 and 8851. First we will calculate the prime factors of 8845 and 8851.
Prime Factorization of 8845
Prime factors of 8845 are 5, 29, 61. Prime factorization of 8845 in exponential form is:
8845 = 51 × 291 × 611
Prime Factorization of 8851
Prime factors of 8851 are 53, 167. Prime factorization of 8851 in exponential form is:
8851 = 531 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 8845 and 8851.
LCM(8845,8851) = 51 × 291 × 611 × 531 × 1671
LCM(8845,8851) = 78287095
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