What is the Least Common Multiple of 88437 and 88451?
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 88437 and 88451 is 7822341087.
LCM(88437,88451) = 7822341087
Least Common Multiple of 88437 and 88451 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88437 and 88451, than apply into the LCM equation.
GCF(88437,88451) = 1
LCM(88437,88451) = ( 88437 × 88451) / 1
LCM(88437,88451) = 7822341087 / 1
LCM(88437,88451) = 7822341087
Least Common Multiple (LCM) of 88437 and 88451 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88437 and 88451. First we will calculate the prime factors of 88437 and 88451.
Prime Factorization of 88437
Prime factors of 88437 are 3, 41, 719. Prime factorization of 88437 in exponential form is:
88437 = 31 × 411 × 7191
Prime Factorization of 88451
Prime factors of 88451 are 11, 17, 43. Prime factorization of 88451 in exponential form is:
88451 = 112 × 171 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 88437 and 88451.
LCM(88437,88451) = 31 × 411 × 7191 × 112 × 171 × 431
LCM(88437,88451) = 7822341087
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