What is the Least Common Multiple of 88616 and 88622?
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 88616 and 88622 is 3926663576.
LCM(88616,88622) = 3926663576
Least Common Multiple of 88616 and 88622 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88616 and 88622, than apply into the LCM equation.
GCF(88616,88622) = 2
LCM(88616,88622) = ( 88616 × 88622) / 2
LCM(88616,88622) = 7853327152 / 2
LCM(88616,88622) = 3926663576
Least Common Multiple (LCM) of 88616 and 88622 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88616 and 88622. First we will calculate the prime factors of 88616 and 88622.
Prime Factorization of 88616
Prime factors of 88616 are 2, 11, 19, 53. Prime factorization of 88616 in exponential form is:
88616 = 23 × 111 × 191 × 531
Prime Factorization of 88622
Prime factors of 88622 are 2, 73, 607. Prime factorization of 88622 in exponential form is:
88622 = 21 × 731 × 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 88616 and 88622.
LCM(88616,88622) = 23 × 111 × 191 × 531 × 731 × 6071
LCM(88616,88622) = 3926663576
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