What is the Least Common Multiple of 88699 and 88704?
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 88699 and 88704 is 7867956096.
LCM(88699,88704) = 7867956096
Least Common Multiple of 88699 and 88704 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88699 and 88704, than apply into the LCM equation.
GCF(88699,88704) = 1
LCM(88699,88704) = ( 88699 × 88704) / 1
LCM(88699,88704) = 7867956096 / 1
LCM(88699,88704) = 7867956096
Least Common Multiple (LCM) of 88699 and 88704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88699 and 88704. First we will calculate the prime factors of 88699 and 88704.
Prime Factorization of 88699
Prime factors of 88699 are 13, 6823. Prime factorization of 88699 in exponential form is:
88699 = 131 × 68231
Prime Factorization of 88704
Prime factors of 88704 are 2, 3, 7, 11. Prime factorization of 88704 in exponential form is:
88704 = 27 × 32 × 71 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 88699 and 88704.
LCM(88699,88704) = 131 × 68231 × 27 × 32 × 71 × 111
LCM(88699,88704) = 7867956096
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