What is the Least Common Multiple of 95321 and 95339?
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 95321 and 95339 is 9087808819.
LCM(95321,95339) = 9087808819
Least Common Multiple of 95321 and 95339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95321 and 95339, than apply into the LCM equation.
GCF(95321,95339) = 1
LCM(95321,95339) = ( 95321 × 95339) / 1
LCM(95321,95339) = 9087808819 / 1
LCM(95321,95339) = 9087808819
Least Common Multiple (LCM) of 95321 and 95339 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95321 and 95339. First we will calculate the prime factors of 95321 and 95339.
Prime Factorization of 95321
Prime factors of 95321 are 199, 479. Prime factorization of 95321 in exponential form is:
95321 = 1991 × 4791
Prime Factorization of 95339
Prime factors of 95339 are 95339. Prime factorization of 95339 in exponential form is:
95339 = 953391
Now multiplying the highest exponent prime factors to calculate the LCM of 95321 and 95339.
LCM(95321,95339) = 1991 × 4791 × 953391
LCM(95321,95339) = 9087808819
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