What is the Least Common Multiple of 97933 and 97939?
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 97933 and 97939 is 9591460087.
LCM(97933,97939) = 9591460087
Least Common Multiple of 97933 and 97939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97933 and 97939, than apply into the LCM equation.
GCF(97933,97939) = 1
LCM(97933,97939) = ( 97933 × 97939) / 1
LCM(97933,97939) = 9591460087 / 1
LCM(97933,97939) = 9591460087
Least Common Multiple (LCM) of 97933 and 97939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97933 and 97939. First we will calculate the prime factors of 97933 and 97939.
Prime Factorization of 97933
Prime factors of 97933 are 11, 29, 307. Prime factorization of 97933 in exponential form is:
97933 = 111 × 291 × 3071
Prime Factorization of 97939
Prime factors of 97939 are 37, 2647. Prime factorization of 97939 in exponential form is:
97939 = 371 × 26471
Now multiplying the highest exponent prime factors to calculate the LCM of 97933 and 97939.
LCM(97933,97939) = 111 × 291 × 3071 × 371 × 26471
LCM(97933,97939) = 9591460087
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