What is the Least Common Multiple of 89582 and 89586?
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 89582 and 89586 is 4012646526.
LCM(89582,89586) = 4012646526
Least Common Multiple of 89582 and 89586 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89582 and 89586, than apply into the LCM equation.
GCF(89582,89586) = 2
LCM(89582,89586) = ( 89582 × 89586) / 2
LCM(89582,89586) = 8025293052 / 2
LCM(89582,89586) = 4012646526
Least Common Multiple (LCM) of 89582 and 89586 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 89582 and 89586. First we will calculate the prime factors of 89582 and 89586.
Prime Factorization of 89582
Prime factors of 89582 are 2, 47, 953. Prime factorization of 89582 in exponential form is:
89582 = 21 × 471 × 9531
Prime Factorization of 89586
Prime factors of 89586 are 2, 3, 7, 79. Prime factorization of 89586 in exponential form is:
89586 = 21 × 34 × 71 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 89582 and 89586.
LCM(89582,89586) = 21 × 471 × 9531 × 34 × 71 × 791
LCM(89582,89586) = 4012646526
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