What is the Least Common Multiple of 94429 and 94438?
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 94429 and 94438 is 8917685902.
LCM(94429,94438) = 8917685902
Least Common Multiple of 94429 and 94438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94429 and 94438, than apply into the LCM equation.
GCF(94429,94438) = 1
LCM(94429,94438) = ( 94429 × 94438) / 1
LCM(94429,94438) = 8917685902 / 1
LCM(94429,94438) = 8917685902
Least Common Multiple (LCM) of 94429 and 94438 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94429 and 94438. First we will calculate the prime factors of 94429 and 94438.
Prime Factorization of 94429
Prime factors of 94429 are 89, 1061. Prime factorization of 94429 in exponential form is:
94429 = 891 × 10611
Prime Factorization of 94438
Prime factors of 94438 are 2, 23, 2053. Prime factorization of 94438 in exponential form is:
94438 = 21 × 231 × 20531
Now multiplying the highest exponent prime factors to calculate the LCM of 94429 and 94438.
LCM(94429,94438) = 891 × 10611 × 21 × 231 × 20531
LCM(94429,94438) = 8917685902
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