What is the Least Common Multiple of 88482 and 88489?
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 88489 is 7829683698.
LCM(88482,88489) = 7829683698
Least Common Multiple of 88482 and 88489 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 88489, than apply into the LCM equation.
GCF(88482,88489) = 1
LCM(88482,88489) = ( 88482 × 88489) / 1
LCM(88482,88489) = 7829683698 / 1
LCM(88482,88489) = 7829683698
Least Common Multiple (LCM) of 88482 and 88489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88482 and 88489. First we will calculate the prime factors of 88482 and 88489.
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 88489
Prime factors of 88489 are 107, 827. Prime factorization of 88489 in exponential form is:
88489 = 1071 × 8271
Now multiplying the highest exponent prime factors to calculate the LCM of 88482 and 88489.
LCM(88482,88489) = 21 × 31 × 147471 × 1071 × 8271
LCM(88482,88489) = 7829683698
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