What is the Least Common Multiple of 88232 and 88242?
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 88232 and 88242 is 3892884072.
LCM(88232,88242) = 3892884072
Least Common Multiple of 88232 and 88242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88232 and 88242, than apply into the LCM equation.
GCF(88232,88242) = 2
LCM(88232,88242) = ( 88232 × 88242) / 2
LCM(88232,88242) = 7785768144 / 2
LCM(88232,88242) = 3892884072
Least Common Multiple (LCM) of 88232 and 88242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88232 and 88242. First we will calculate the prime factors of 88232 and 88242.
Prime Factorization of 88232
Prime factors of 88232 are 2, 41, 269. Prime factorization of 88232 in exponential form is:
88232 = 23 × 411 × 2691
Prime Factorization of 88242
Prime factors of 88242 are 2, 3, 7, 11, 191. Prime factorization of 88242 in exponential form is:
88242 = 21 × 31 × 71 × 111 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 88232 and 88242.
LCM(88232,88242) = 23 × 411 × 2691 × 31 × 71 × 111 × 1911
LCM(88232,88242) = 3892884072
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