What is the Least Common Multiple of 88606 and 88613?
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 88613 is 1121663354.
LCM(88606,88613) = 1121663354
Least Common Multiple of 88606 and 88613 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 88613, than apply into the LCM equation.
GCF(88606,88613) = 7
LCM(88606,88613) = ( 88606 × 88613) / 7
LCM(88606,88613) = 7851643478 / 7
LCM(88606,88613) = 1121663354
Least Common Multiple (LCM) of 88606 and 88613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88606 and 88613. First we will calculate the prime factors of 88606 and 88613.
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 88613
Prime factors of 88613 are 7, 12659. Prime factorization of 88613 in exponential form is:
88613 = 71 × 126591
Now multiplying the highest exponent prime factors to calculate the LCM of 88606 and 88613.
LCM(88606,88613) = 21 × 71 × 63291 × 126591
LCM(88606,88613) = 1121663354
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