What is the Least Common Multiple of 88552 and 88558?
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 88552 and 88558 is 3920994008.
LCM(88552,88558) = 3920994008
Least Common Multiple of 88552 and 88558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88552 and 88558, than apply into the LCM equation.
GCF(88552,88558) = 2
LCM(88552,88558) = ( 88552 × 88558) / 2
LCM(88552,88558) = 7841988016 / 2
LCM(88552,88558) = 3920994008
Least Common Multiple (LCM) of 88552 and 88558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88552 and 88558. First we will calculate the prime factors of 88552 and 88558.
Prime Factorization of 88552
Prime factors of 88552 are 2, 11069. Prime factorization of 88552 in exponential form is:
88552 = 23 × 110691
Prime Factorization of 88558
Prime factors of 88558 are 2, 44279. Prime factorization of 88558 in exponential form is:
88558 = 21 × 442791
Now multiplying the highest exponent prime factors to calculate the LCM of 88552 and 88558.
LCM(88552,88558) = 23 × 110691 × 442791
LCM(88552,88558) = 3920994008
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