What is the Least Common Multiple of 8709 and 8715?
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 8709 and 8715 is 25299645.
LCM(8709,8715) = 25299645
Least Common Multiple of 8709 and 8715 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8709 and 8715, than apply into the LCM equation.
GCF(8709,8715) = 3
LCM(8709,8715) = ( 8709 × 8715) / 3
LCM(8709,8715) = 75898935 / 3
LCM(8709,8715) = 25299645
Least Common Multiple (LCM) of 8709 and 8715 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8709 and 8715. First we will calculate the prime factors of 8709 and 8715.
Prime Factorization of 8709
Prime factors of 8709 are 3, 2903. Prime factorization of 8709 in exponential form is:
8709 = 31 × 29031
Prime Factorization of 8715
Prime factors of 8715 are 3, 5, 7, 83. Prime factorization of 8715 in exponential form is:
8715 = 31 × 51 × 71 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 8709 and 8715.
LCM(8709,8715) = 31 × 29031 × 51 × 71 × 831
LCM(8709,8715) = 25299645
Related Least Common Multiples of 8709
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Related Least Common Multiples of 8715
- LCM of 8715 and 8719
- LCM of 8715 and 8720
- LCM of 8715 and 8721
- LCM of 8715 and 8722
- LCM of 8715 and 8723
- LCM of 8715 and 8724
- LCM of 8715 and 8725
- LCM of 8715 and 8726
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- LCM of 8715 and 8728
- LCM of 8715 and 8729
- LCM of 8715 and 8730
- LCM of 8715 and 8731
- LCM of 8715 and 8732
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- LCM of 8715 and 8735