What is the Least Common Multiple of 95223 and 95242?
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 95223 and 95242 is 9069228966.
LCM(95223,95242) = 9069228966
Least Common Multiple of 95223 and 95242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95223 and 95242, than apply into the LCM equation.
GCF(95223,95242) = 1
LCM(95223,95242) = ( 95223 × 95242) / 1
LCM(95223,95242) = 9069228966 / 1
LCM(95223,95242) = 9069228966
Least Common Multiple (LCM) of 95223 and 95242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95223 and 95242. First we will calculate the prime factors of 95223 and 95242.
Prime Factorization of 95223
Prime factors of 95223 are 3, 31741. Prime factorization of 95223 in exponential form is:
95223 = 31 × 317411
Prime Factorization of 95242
Prime factors of 95242 are 2, 7, 6803. Prime factorization of 95242 in exponential form is:
95242 = 21 × 71 × 68031
Now multiplying the highest exponent prime factors to calculate the LCM of 95223 and 95242.
LCM(95223,95242) = 31 × 317411 × 21 × 71 × 68031
LCM(95223,95242) = 9069228966
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