What is the Least Common Multiple of 94366 and 94372?
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 94366 and 94372 is 4452754076.
LCM(94366,94372) = 4452754076
Least Common Multiple of 94366 and 94372 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94366 and 94372, than apply into the LCM equation.
GCF(94366,94372) = 2
LCM(94366,94372) = ( 94366 × 94372) / 2
LCM(94366,94372) = 8905508152 / 2
LCM(94366,94372) = 4452754076
Least Common Multiple (LCM) of 94366 and 94372 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94366 and 94372. First we will calculate the prime factors of 94366 and 94372.
Prime Factorization of 94366
Prime factors of 94366 are 2, 29, 1627. Prime factorization of 94366 in exponential form is:
94366 = 21 × 291 × 16271
Prime Factorization of 94372
Prime factors of 94372 are 2, 23593. Prime factorization of 94372 in exponential form is:
94372 = 22 × 235931
Now multiplying the highest exponent prime factors to calculate the LCM of 94366 and 94372.
LCM(94366,94372) = 22 × 291 × 16271 × 235931
LCM(94366,94372) = 4452754076
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