What is the Least Common Multiple of 88476 and 88481?
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 88476 and 88481 is 7828444956.
LCM(88476,88481) = 7828444956
Least Common Multiple of 88476 and 88481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88476 and 88481, than apply into the LCM equation.
GCF(88476,88481) = 1
LCM(88476,88481) = ( 88476 × 88481) / 1
LCM(88476,88481) = 7828444956 / 1
LCM(88476,88481) = 7828444956
Least Common Multiple (LCM) of 88476 and 88481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88476 and 88481. First we will calculate the prime factors of 88476 and 88481.
Prime Factorization of 88476
Prime factors of 88476 are 2, 3, 73, 101. Prime factorization of 88476 in exponential form is:
88476 = 22 × 31 × 731 × 1011
Prime Factorization of 88481
Prime factors of 88481 are 23, 3847. Prime factorization of 88481 in exponential form is:
88481 = 231 × 38471
Now multiplying the highest exponent prime factors to calculate the LCM of 88476 and 88481.
LCM(88476,88481) = 22 × 31 × 731 × 1011 × 231 × 38471
LCM(88476,88481) = 7828444956
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