What is the Least Common Multiple of 88463 and 88468?
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 88463 and 88468 is 7826144684.
LCM(88463,88468) = 7826144684
Least Common Multiple of 88463 and 88468 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88463 and 88468, than apply into the LCM equation.
GCF(88463,88468) = 1
LCM(88463,88468) = ( 88463 × 88468) / 1
LCM(88463,88468) = 7826144684 / 1
LCM(88463,88468) = 7826144684
Least Common Multiple (LCM) of 88463 and 88468 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88463 and 88468. First we will calculate the prime factors of 88463 and 88468.
Prime Factorization of 88463
Prime factors of 88463 are 88463. Prime factorization of 88463 in exponential form is:
88463 = 884631
Prime Factorization of 88468
Prime factors of 88468 are 2, 17, 1301. Prime factorization of 88468 in exponential form is:
88468 = 22 × 171 × 13011
Now multiplying the highest exponent prime factors to calculate the LCM of 88463 and 88468.
LCM(88463,88468) = 884631 × 22 × 171 × 13011
LCM(88463,88468) = 7826144684
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