What is the Least Common Multiple of 95261 and 95281?
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 95261 and 95281 is 9076563341.
LCM(95261,95281) = 9076563341
Least Common Multiple of 95261 and 95281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95261 and 95281, than apply into the LCM equation.
GCF(95261,95281) = 1
LCM(95261,95281) = ( 95261 × 95281) / 1
LCM(95261,95281) = 9076563341 / 1
LCM(95261,95281) = 9076563341
Least Common Multiple (LCM) of 95261 and 95281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95261 and 95281. First we will calculate the prime factors of 95261 and 95281.
Prime Factorization of 95261
Prime factors of 95261 are 95261. Prime factorization of 95261 in exponential form is:
95261 = 952611
Prime Factorization of 95281
Prime factors of 95281 are 151, 631. Prime factorization of 95281 in exponential form is:
95281 = 1511 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 95261 and 95281.
LCM(95261,95281) = 952611 × 1511 × 6311
LCM(95261,95281) = 9076563341
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