What is the Least Common Multiple of 88606 and 88612?
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 88606 and 88612 is 3925777436.
LCM(88606,88612) = 3925777436
Least Common Multiple of 88606 and 88612 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88606 and 88612, than apply into the LCM equation.
GCF(88606,88612) = 2
LCM(88606,88612) = ( 88606 × 88612) / 2
LCM(88606,88612) = 7851554872 / 2
LCM(88606,88612) = 3925777436
Least Common Multiple (LCM) of 88606 and 88612 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88606 and 88612. First we will calculate the prime factors of 88606 and 88612.
Prime Factorization of 88606
Prime factors of 88606 are 2, 7, 6329. Prime factorization of 88606 in exponential form is:
88606 = 21 × 71 × 63291
Prime Factorization of 88612
Prime factors of 88612 are 2, 22153. Prime factorization of 88612 in exponential form is:
88612 = 22 × 221531
Now multiplying the highest exponent prime factors to calculate the LCM of 88606 and 88612.
LCM(88606,88612) = 22 × 71 × 63291 × 221531
LCM(88606,88612) = 3925777436
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