What is the Least Common Multiple of 69611 and 69615?
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 69611 and 69615 is 4845969765.
LCM(69611,69615) = 4845969765
Least Common Multiple of 69611 and 69615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69611 and 69615, than apply into the LCM equation.
GCF(69611,69615) = 1
LCM(69611,69615) = ( 69611 × 69615) / 1
LCM(69611,69615) = 4845969765 / 1
LCM(69611,69615) = 4845969765
Least Common Multiple (LCM) of 69611 and 69615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69611 and 69615. First we will calculate the prime factors of 69611 and 69615.
Prime Factorization of 69611
Prime factors of 69611 are 151, 461. Prime factorization of 69611 in exponential form is:
69611 = 1511 × 4611
Prime Factorization of 69615
Prime factors of 69615 are 3, 5, 7, 13, 17. Prime factorization of 69615 in exponential form is:
69615 = 32 × 51 × 71 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 69611 and 69615.
LCM(69611,69615) = 1511 × 4611 × 32 × 51 × 71 × 131 × 171
LCM(69611,69615) = 4845969765
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