What is the Least Common Multiple of 93391 and 93398?
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 93391 and 93398 is 8722532618.
LCM(93391,93398) = 8722532618
Least Common Multiple of 93391 and 93398 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93391 and 93398, than apply into the LCM equation.
GCF(93391,93398) = 1
LCM(93391,93398) = ( 93391 × 93398) / 1
LCM(93391,93398) = 8722532618 / 1
LCM(93391,93398) = 8722532618
Least Common Multiple (LCM) of 93391 and 93398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93391 and 93398. First we will calculate the prime factors of 93391 and 93398.
Prime Factorization of 93391
Prime factors of 93391 are 61, 1531. Prime factorization of 93391 in exponential form is:
93391 = 611 × 15311
Prime Factorization of 93398
Prime factors of 93398 are 2, 17, 41, 67. Prime factorization of 93398 in exponential form is:
93398 = 21 × 171 × 411 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 93391 and 93398.
LCM(93391,93398) = 611 × 15311 × 21 × 171 × 411 × 671
LCM(93391,93398) = 8722532618
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