What is the Least Common Multiple of 88482 and 88487?
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 88482 and 88487 is 7829506734.
LCM(88482,88487) = 7829506734
Least Common Multiple of 88482 and 88487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88482 and 88487, than apply into the LCM equation.
GCF(88482,88487) = 1
LCM(88482,88487) = ( 88482 × 88487) / 1
LCM(88482,88487) = 7829506734 / 1
LCM(88482,88487) = 7829506734
Least Common Multiple (LCM) of 88482 and 88487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88482 and 88487. First we will calculate the prime factors of 88482 and 88487.
Prime Factorization of 88482
Prime factors of 88482 are 2, 3, 14747. Prime factorization of 88482 in exponential form is:
88482 = 21 × 31 × 147471
Prime Factorization of 88487
Prime factors of 88487 are 7, 12641. Prime factorization of 88487 in exponential form is:
88487 = 71 × 126411
Now multiplying the highest exponent prime factors to calculate the LCM of 88482 and 88487.
LCM(88482,88487) = 21 × 31 × 147471 × 71 × 126411
LCM(88482,88487) = 7829506734
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