What is the Least Common Multiple of 94637 and 94643?
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 94637 and 94643 is 8956729591.
LCM(94637,94643) = 8956729591
Least Common Multiple of 94637 and 94643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94637 and 94643, than apply into the LCM equation.
GCF(94637,94643) = 1
LCM(94637,94643) = ( 94637 × 94643) / 1
LCM(94637,94643) = 8956729591 / 1
LCM(94637,94643) = 8956729591
Least Common Multiple (LCM) of 94637 and 94643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94637 and 94643. First we will calculate the prime factors of 94637 and 94643.
Prime Factorization of 94637
Prime factors of 94637 are 101, 937. Prime factorization of 94637 in exponential form is:
94637 = 1011 × 9371
Prime Factorization of 94643
Prime factors of 94643 are 31, 43, 71. Prime factorization of 94643 in exponential form is:
94643 = 311 × 431 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 94637 and 94643.
LCM(94637,94643) = 1011 × 9371 × 311 × 431 × 711
LCM(94637,94643) = 8956729591
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