What is the Least Common Multiple of 88234 and 88243?
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 88234 and 88243 is 7786032862.
LCM(88234,88243) = 7786032862
Least Common Multiple of 88234 and 88243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88234 and 88243, than apply into the LCM equation.
GCF(88234,88243) = 1
LCM(88234,88243) = ( 88234 × 88243) / 1
LCM(88234,88243) = 7786032862 / 1
LCM(88234,88243) = 7786032862
Least Common Multiple (LCM) of 88234 and 88243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88234 and 88243. First we will calculate the prime factors of 88234 and 88243.
Prime Factorization of 88234
Prime factors of 88234 are 2, 157, 281. Prime factorization of 88234 in exponential form is:
88234 = 21 × 1571 × 2811
Prime Factorization of 88243
Prime factors of 88243 are 79, 1117. Prime factorization of 88243 in exponential form is:
88243 = 791 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 88234 and 88243.
LCM(88234,88243) = 21 × 1571 × 2811 × 791 × 11171
LCM(88234,88243) = 7786032862
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