What is the Least Common Multiple of 88457 and 88477?
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 88457 and 88477 is 7826409989.
LCM(88457,88477) = 7826409989
Least Common Multiple of 88457 and 88477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88457 and 88477, than apply into the LCM equation.
GCF(88457,88477) = 1
LCM(88457,88477) = ( 88457 × 88477) / 1
LCM(88457,88477) = 7826409989 / 1
LCM(88457,88477) = 7826409989
Least Common Multiple (LCM) of 88457 and 88477 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88457 and 88477. First we will calculate the prime factors of 88457 and 88477.
Prime Factorization of 88457
Prime factors of 88457 are 53, 1669. Prime factorization of 88457 in exponential form is:
88457 = 531 × 16691
Prime Factorization of 88477
Prime factors of 88477 are 103, 859. Prime factorization of 88477 in exponential form is:
88477 = 1031 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 88457 and 88477.
LCM(88457,88477) = 531 × 16691 × 1031 × 8591
LCM(88457,88477) = 7826409989
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