What is the Least Common Multiple of 95221 and 95241?
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 95221 and 95241 is 9068943261.
LCM(95221,95241) = 9068943261
Least Common Multiple of 95221 and 95241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95221 and 95241, than apply into the LCM equation.
GCF(95221,95241) = 1
LCM(95221,95241) = ( 95221 × 95241) / 1
LCM(95221,95241) = 9068943261 / 1
LCM(95221,95241) = 9068943261
Least Common Multiple (LCM) of 95221 and 95241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95221 and 95241. First we will calculate the prime factors of 95221 and 95241.
Prime Factorization of 95221
Prime factors of 95221 are 7, 61, 223. Prime factorization of 95221 in exponential form is:
95221 = 71 × 611 × 2231
Prime Factorization of 95241
Prime factors of 95241 are 3, 53, 599. Prime factorization of 95241 in exponential form is:
95241 = 31 × 531 × 5991
Now multiplying the highest exponent prime factors to calculate the LCM of 95221 and 95241.
LCM(95221,95241) = 71 × 611 × 2231 × 31 × 531 × 5991
LCM(95221,95241) = 9068943261
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