What is the Least Common Multiple of 95331 and 95341?
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 95331 and 95341 is 9088952871.
LCM(95331,95341) = 9088952871
Least Common Multiple of 95331 and 95341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95331 and 95341, than apply into the LCM equation.
GCF(95331,95341) = 1
LCM(95331,95341) = ( 95331 × 95341) / 1
LCM(95331,95341) = 9088952871 / 1
LCM(95331,95341) = 9088952871
Least Common Multiple (LCM) of 95331 and 95341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95331 and 95341. First we will calculate the prime factors of 95331 and 95341.
Prime Factorization of 95331
Prime factors of 95331 are 3, 43, 739. Prime factorization of 95331 in exponential form is:
95331 = 31 × 431 × 7391
Prime Factorization of 95341
Prime factors of 95341 are 67, 1423. Prime factorization of 95341 in exponential form is:
95341 = 671 × 14231
Now multiplying the highest exponent prime factors to calculate the LCM of 95331 and 95341.
LCM(95331,95341) = 31 × 431 × 7391 × 671 × 14231
LCM(95331,95341) = 9088952871
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