What is the Least Common Multiple of 94457 and 94468?
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 94457 and 94468 is 811196716.
LCM(94457,94468) = 811196716
Least Common Multiple of 94457 and 94468 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94457 and 94468, than apply into the LCM equation.
GCF(94457,94468) = 11
LCM(94457,94468) = ( 94457 × 94468) / 11
LCM(94457,94468) = 8923163876 / 11
LCM(94457,94468) = 811196716
Least Common Multiple (LCM) of 94457 and 94468 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94457 and 94468. First we will calculate the prime factors of 94457 and 94468.
Prime Factorization of 94457
Prime factors of 94457 are 11, 31, 277. Prime factorization of 94457 in exponential form is:
94457 = 111 × 311 × 2771
Prime Factorization of 94468
Prime factors of 94468 are 2, 11, 19, 113. Prime factorization of 94468 in exponential form is:
94468 = 22 × 111 × 191 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 94457 and 94468.
LCM(94457,94468) = 111 × 311 × 2771 × 22 × 191 × 1131
LCM(94457,94468) = 811196716
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