What is the Least Common Multiple of 94468 and 94476?
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 94468 and 94476 is 2231239692.
LCM(94468,94476) = 2231239692
Least Common Multiple of 94468 and 94476 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94468 and 94476, than apply into the LCM equation.
GCF(94468,94476) = 4
LCM(94468,94476) = ( 94468 × 94476) / 4
LCM(94468,94476) = 8924958768 / 4
LCM(94468,94476) = 2231239692
Least Common Multiple (LCM) of 94468 and 94476 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94468 and 94476. First we will calculate the prime factors of 94468 and 94476.
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
Prime Factorization of 94476
Prime factors of 94476 are 2, 3, 7873. Prime factorization of 94476 in exponential form is:
94476 = 22 × 31 × 78731
Now multiplying the highest exponent prime factors to calculate the LCM of 94468 and 94476.
LCM(94468,94476) = 22 × 111 × 191 × 1131 × 31 × 78731
LCM(94468,94476) = 2231239692
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