What is the Least Common Multiple of 95668 and 95677?
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 95668 and 95677 is 9153227236.
LCM(95668,95677) = 9153227236
Least Common Multiple of 95668 and 95677 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95668 and 95677, than apply into the LCM equation.
GCF(95668,95677) = 1
LCM(95668,95677) = ( 95668 × 95677) / 1
LCM(95668,95677) = 9153227236 / 1
LCM(95668,95677) = 9153227236
Least Common Multiple (LCM) of 95668 and 95677 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95668 and 95677. First we will calculate the prime factors of 95668 and 95677.
Prime Factorization of 95668
Prime factors of 95668 are 2, 23917. Prime factorization of 95668 in exponential form is:
95668 = 22 × 239171
Prime Factorization of 95677
Prime factors of 95677 are 241, 397. Prime factorization of 95677 in exponential form is:
95677 = 2411 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 95668 and 95677.
LCM(95668,95677) = 22 × 239171 × 2411 × 3971
LCM(95668,95677) = 9153227236
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