What is the Least Common Multiple of 8561 and 8570?
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 8561 and 8570 is 73367770.
LCM(8561,8570) = 73367770
Least Common Multiple of 8561 and 8570 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8561 and 8570, than apply into the LCM equation.
GCF(8561,8570) = 1
LCM(8561,8570) = ( 8561 × 8570) / 1
LCM(8561,8570) = 73367770 / 1
LCM(8561,8570) = 73367770
Least Common Multiple (LCM) of 8561 and 8570 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8561 and 8570. First we will calculate the prime factors of 8561 and 8570.
Prime Factorization of 8561
Prime factors of 8561 are 7, 1223. Prime factorization of 8561 in exponential form is:
8561 = 71 × 12231
Prime Factorization of 8570
Prime factors of 8570 are 2, 5, 857. Prime factorization of 8570 in exponential form is:
8570 = 21 × 51 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 8561 and 8570.
LCM(8561,8570) = 71 × 12231 × 21 × 51 × 8571
LCM(8561,8570) = 73367770
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