What is the Least Common Multiple of 93371 and 93390?
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 93371 and 93390 is 8719917690.
LCM(93371,93390) = 8719917690
Least Common Multiple of 93371 and 93390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93371 and 93390, than apply into the LCM equation.
GCF(93371,93390) = 1
LCM(93371,93390) = ( 93371 × 93390) / 1
LCM(93371,93390) = 8719917690 / 1
LCM(93371,93390) = 8719917690
Least Common Multiple (LCM) of 93371 and 93390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93371 and 93390. First we will calculate the prime factors of 93371 and 93390.
Prime Factorization of 93371
Prime factors of 93371 are 93371. Prime factorization of 93371 in exponential form is:
93371 = 933711
Prime Factorization of 93390
Prime factors of 93390 are 2, 3, 5, 11, 283. Prime factorization of 93390 in exponential form is:
93390 = 21 × 31 × 51 × 111 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 93371 and 93390.
LCM(93371,93390) = 933711 × 21 × 31 × 51 × 111 × 2831
LCM(93371,93390) = 8719917690
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