What is the Least Common Multiple of 93770 and 93781?
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 93770 and 93781 is 8793844370.
LCM(93770,93781) = 8793844370
Least Common Multiple of 93770 and 93781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93770 and 93781, than apply into the LCM equation.
GCF(93770,93781) = 1
LCM(93770,93781) = ( 93770 × 93781) / 1
LCM(93770,93781) = 8793844370 / 1
LCM(93770,93781) = 8793844370
Least Common Multiple (LCM) of 93770 and 93781 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93770 and 93781. First we will calculate the prime factors of 93770 and 93781.
Prime Factorization of 93770
Prime factors of 93770 are 2, 5, 9377. Prime factorization of 93770 in exponential form is:
93770 = 21 × 51 × 93771
Prime Factorization of 93781
Prime factors of 93781 are 191, 491. Prime factorization of 93781 in exponential form is:
93781 = 1911 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 93770 and 93781.
LCM(93770,93781) = 21 × 51 × 93771 × 1911 × 4911
LCM(93770,93781) = 8793844370
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