What is the Least Common Multiple of 93379 and 93399?
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 93379 and 93399 is 8721505221.
LCM(93379,93399) = 8721505221
Least Common Multiple of 93379 and 93399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93379 and 93399, than apply into the LCM equation.
GCF(93379,93399) = 1
LCM(93379,93399) = ( 93379 × 93399) / 1
LCM(93379,93399) = 8721505221 / 1
LCM(93379,93399) = 8721505221
Least Common Multiple (LCM) of 93379 and 93399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93379 and 93399. First we will calculate the prime factors of 93379 and 93399.
Prime Factorization of 93379
Prime factors of 93379 are 11, 13, 653. Prime factorization of 93379 in exponential form is:
93379 = 111 × 131 × 6531
Prime Factorization of 93399
Prime factors of 93399 are 3, 163, 191. Prime factorization of 93399 in exponential form is:
93399 = 31 × 1631 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 93379 and 93399.
LCM(93379,93399) = 111 × 131 × 6531 × 31 × 1631 × 1911
LCM(93379,93399) = 8721505221
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