What is the Least Common Multiple of 94413 and 94426?
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 94413 and 94426 is 8915041938.
LCM(94413,94426) = 8915041938
Least Common Multiple of 94413 and 94426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94413 and 94426, than apply into the LCM equation.
GCF(94413,94426) = 1
LCM(94413,94426) = ( 94413 × 94426) / 1
LCM(94413,94426) = 8915041938 / 1
LCM(94413,94426) = 8915041938
Least Common Multiple (LCM) of 94413 and 94426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94413 and 94426. First we will calculate the prime factors of 94413 and 94426.
Prime Factorization of 94413
Prime factors of 94413 are 3, 11, 2861. Prime factorization of 94413 in exponential form is:
94413 = 31 × 111 × 28611
Prime Factorization of 94426
Prime factors of 94426 are 2, 31, 1523. Prime factorization of 94426 in exponential form is:
94426 = 21 × 311 × 15231
Now multiplying the highest exponent prime factors to calculate the LCM of 94413 and 94426.
LCM(94413,94426) = 31 × 111 × 28611 × 21 × 311 × 15231
LCM(94413,94426) = 8915041938
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