What is the Least Common Multiple of 94383 and 94396?
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 94383 and 94396 is 8909377668.
LCM(94383,94396) = 8909377668
Least Common Multiple of 94383 and 94396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94383 and 94396, than apply into the LCM equation.
GCF(94383,94396) = 1
LCM(94383,94396) = ( 94383 × 94396) / 1
LCM(94383,94396) = 8909377668 / 1
LCM(94383,94396) = 8909377668
Least Common Multiple (LCM) of 94383 and 94396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94383 and 94396. First we will calculate the prime factors of 94383 and 94396.
Prime Factorization of 94383
Prime factors of 94383 are 3, 10487. Prime factorization of 94383 in exponential form is:
94383 = 32 × 104871
Prime Factorization of 94396
Prime factors of 94396 are 2, 23599. Prime factorization of 94396 in exponential form is:
94396 = 22 × 235991
Now multiplying the highest exponent prime factors to calculate the LCM of 94383 and 94396.
LCM(94383,94396) = 32 × 104871 × 22 × 235991
LCM(94383,94396) = 8909377668
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