What is the Least Common Multiple of 8775 and 8781?
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 8775 and 8781 is 25684425.
LCM(8775,8781) = 25684425
Least Common Multiple of 8775 and 8781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8775 and 8781, than apply into the LCM equation.
GCF(8775,8781) = 3
LCM(8775,8781) = ( 8775 × 8781) / 3
LCM(8775,8781) = 77053275 / 3
LCM(8775,8781) = 25684425
Least Common Multiple (LCM) of 8775 and 8781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8775 and 8781. First we will calculate the prime factors of 8775 and 8781.
Prime Factorization of 8775
Prime factors of 8775 are 3, 5, 13. Prime factorization of 8775 in exponential form is:
8775 = 33 × 52 × 131
Prime Factorization of 8781
Prime factors of 8781 are 3, 2927. Prime factorization of 8781 in exponential form is:
8781 = 31 × 29271
Now multiplying the highest exponent prime factors to calculate the LCM of 8775 and 8781.
LCM(8775,8781) = 33 × 52 × 131 × 29271
LCM(8775,8781) = 25684425
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