What is the Least Common Multiple of 93370 and 93387?
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 93370 and 93387 is 8719544190.
LCM(93370,93387) = 8719544190
Least Common Multiple of 93370 and 93387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93370 and 93387, than apply into the LCM equation.
GCF(93370,93387) = 1
LCM(93370,93387) = ( 93370 × 93387) / 1
LCM(93370,93387) = 8719544190 / 1
LCM(93370,93387) = 8719544190
Least Common Multiple (LCM) of 93370 and 93387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93370 and 93387. First we will calculate the prime factors of 93370 and 93387.
Prime Factorization of 93370
Prime factors of 93370 are 2, 5, 9337. Prime factorization of 93370 in exponential form is:
93370 = 21 × 51 × 93371
Prime Factorization of 93387
Prime factors of 93387 are 3, 7, 4447. Prime factorization of 93387 in exponential form is:
93387 = 31 × 71 × 44471
Now multiplying the highest exponent prime factors to calculate the LCM of 93370 and 93387.
LCM(93370,93387) = 21 × 51 × 93371 × 31 × 71 × 44471
LCM(93370,93387) = 8719544190
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